the state of stress at a point is plane stress represented by the mohr's circle shown, where the reference state is denoted by point a. what is the orientation angle of the outer normal of the plane with the largest principal stress, measured from the outer normal of the reference plane?

Answers

Answer 1

The angle between the horizontal axis and the radius that intersects point C represents the orientation angle of the outer normal of the plane with the largest principal stress, measured from the outer normal of the reference plane.

Unfortunately, I cannot see the Mohr's circle that you referred to in your question.

I can provide you with general information on how to determine the orientation angle of the outer normal of the plane with the largest principal stress, measured from the outer normal of the reference plane using Mohr's circle.

The orientation angle of the outer normal of the plane with the largest principal stress, measured from the outer normal of the reference plane, can be determined using the following steps:

Identify the point on the Mohr's circle that represents the state of stress at the point of interest.

Draw a horizontal line through this point to intersect the circle at points B and C.

Draw radii from the center of the circle to points B and C.

The angle is measured counterclockwise from the outer normal of the reference plane.

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Related Questions

technician a says the oxygen sensor (o2s) detects misfires by monitoring the amount of unburned fuel in the exhaust system. technician b says a heating element inside the sensor allows the sensor to reach operating temperature quickly and to maintain its temperature during periods of idling or low engine load. who is correct?

Answers

Technician B is correct because a heating element inside the sensor allows it to reach operating temperature quickly and maintain its temperature during periods of idling or low engine load.

So, only Technician B is correct in this case.

Technician A is incorrect because the oxygen sensor (O2S) does not detect misfires; it measures the amount of oxygen in the exhaust gas, which helps the engine control module (ECM) to adjust the air-fuel mixture.

Technician B is correct.

The oxygen sensor (O2 sensor) does not directly detect misfires.

Instead, it measures the amount of oxygen in the exhaust gases to determine whether the air/fuel mixture is too rich or too lean.

The engine control module (ECM) then uses this information to adjust the fuel injection and ignition timing to achieve the desired air/fuel ratio.

One of the key functions of the heating element inside the O2 sensor is to help it reach operating temperature quickly and maintain that temperature during periods of idling or low engine load.

This is necessary because the sensor needs to be at a specific temperature (usually between 600 and 800 degrees Fahrenheit) to operate correctly.

If the sensor is too cold, it will not produce accurate readings, which can lead to poor performance and increased emissions.

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which term identifies the occurrence of a scanned biometiric allowing access to someone who is not authorized

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The term that identifies the occurrence of a scanned biometric allowing access to someone who is not authorized is biometric spoofing or biometric hacking.

This refers to the use of fake or manipulated biometric data to gain access to a secure system or facility. To prevent biometric spoofing, it is important to use multi-factor authentication methods and to regularly update biometric systems with the latest security protocols.The term that identifies the occurrence of a scanned biometric allowing access to someone who is not authorized is a "false acceptance." This refers to a security system incorrectly granting access to an unauthorized individual based on an inaccurate biometric match.False acceptance is a type of error that occurs in biometric authentication systems, where the system incorrectly identifies an unauthorized user as an authorized one. This can occur when a biometric scan such as a fingerprint or facial recognition is incorrectly matched to an authorized user's data, or when an attacker is able to spoof or mimic a biometric trait to gain access.

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Assume that you just wrote the following MARIE program: LOAD 209 ADD 20A STORE 20B HALT 1022 0026 0000 (a) Your program has been assembled and stored in the memory starting at the address of 205. Draw your memory contents in binary. (b) Write the Register Transfer Notation of the first instruction (LOAD 209). You need to use the given address value instead of X. What are the values of MAR, MBR, and AC and why? (c) Write the Register Transfer Notation of the Fetch cycle if the PC has the value of 206. (refer Figure 4.14 in page 251 of textbook) What are the values of PC, MAR, MBR, and IR and why?

Answers

The value of MAR is also 206 because it contains the address of the next instruction. The value of MBR is the contents of memory location 206, which is 0021. The value of IR is also 0021 because it is loaded with the contents of MBR. Finally, the value of PC is incremented by 1 to 207 to fetch the next instruction.

(a) The memory contents in binary for the given MARIE program are:
205: 0000 0001 0010 1001 (1029)
206: 0000 0000 0010 0001 (0021)
207: 0000 0000 0000 0000 (0000)
208: 0000 0000 0000 0000 (0000)
209: 0000 0001 0010 1001 (1029)
20A: 0000 0000 0000 0000 (0000)
20B: 0000 0000 0010 1010 (002A)
1022: 0000 0000 0010 0001 (0021)
0026: 0000 0000 0000 0000 (0000)
0000: 0000 0000 0000 0000 (0000)
(b) The Register Transfer Notation for the first instruction (LOAD 209) is:
MAR <- 209
MBR <- M[MAR]
AC <- MBR
Here, the value of MAR is 209 because the instruction LOAD 209 loads the contents of memory location 209 into the AC. The value of MBR is the contents of memory location 209, which is 1029. The value of AC is also 1029 because it is loaded with the contents of MBR.
(c) The Register Transfer Notation for the Fetch cycle with PC = 206 is:
MAR <- PC
MBR <- M[MAR]
IR <- MBR
PC <- PC + 1

Here, the value of PC is 206 because it is the next instruction to be executed.

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The steel reinforcement (tendons) used for PRE-tensioned members is __________.

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The steel reinforcement (tendons) used for pre-tensioned members is typically high-strength steel strands or wires. These are tensioned before the concrete is poured, resulting in a strong bond and increased structural capacity.

Tendons are among the connective tissues. They are made of collagen fibres and are less flexible than other types of fibrous tissue but have a lot of strength like rope. The main function of tendon is to connect bones and muscles so that the body may function properly. Tendon sheaths are tissue tubes that surround the tendons in the shape of a tunnel and are lubricant-filled. The tendon sheath prevents the tendon from fraying and being damaged by excessive friction. The inside surface of the sheath is covered in synovial fluid. This allows the tendon to move both forward and backward. This suggests that tendon sheaths protect the long tendons as they move through the synovial joints. Tenostosis is the medical term for when a tendon ossifies or transforms into bone.

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What are the likely consequences of adding too much water (more than the design mix w/cm ratio) to a concrete mix? (Select all that apply)
A. Reduced compressive strength (f'c)
B. Increase amount of shrinkage cracking.
C. Water and the addition thereof has little impact on concrete mix performance.
D. Greater compressive strength (f'c)

Answers

A. Reduced compressive strength (f'c) and B. Increase amount of shrinkage cracking are the likely consequences of adding too much water (more than the design mix w/cm ratio) to a concrete mix.

Adding too much water to a concrete mix, also known as over-watering, can have negative consequences on the performance of the concrete. It can result in a lower compressive strength, as the excess water weakens the bond between the cement and aggregates. Over-watering can also lead to increased shrinkage cracking, as the excess water evaporates during the curing process and causes the concrete to shrink more than intended. It is important to follow the design mix w/cm ratio and avoid adding too much water to ensure the desired performance of the concrete.

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Question 40
Marks: 1
______ can be recovered from refuse by burning it in a refractory lined incinerator or water-wall incinerator.
Choose one answer.

a. glass

b. aluminum

c. ferrous metal

d. energy

Answers

The correct answer to question 40 is d. energy. Energy can be recovered from refuse through incineration in a refractory lined incinerator or water-wall incinerator. Refuse refers to waste or garbage that is generated from households, businesses, or industries.

Incineration is a process that involves burning the refuse in a controlled environment to convert it into ash, gases, and heat. The heat generated can be used to produce steam that drives turbines to generate electricity. Refractory lined incinerators are designed to withstand high temperatures and prevent the escape of harmful gases into the environment. Water-wall incinerators are equipped with water-cooled walls that help to maintain a consistent temperature and minimize the emission of pollutants.

Refractory materials are used to line the walls and floors of incinerators to protect them from the high temperatures and chemical reactions that occur during the combustion process. Therefore, incineration of refuse is an effective method of recovering energy from waste and reducing the volume of waste that goes to landfills.

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The tributary width for the girder on Grid B between Grids 1 and 2 is most nearly:

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To calculate the tributary width for the girder on Grid B between Grids 1 and 2, we need to consider the distance between the two adjacent girders (Grid A and Grid C) and divide it by 2.

This will give us the tributary width that the girder on Grid B is responsible for supporting. However, without specific distances between the grids, I cannot provide an exact value. Please provide the distances between the grids, and I'll be happy to help you calculate the tributary width.To calculate the tributary width for the girder on Grid B between Grids 1 and 2, we need to consider the distance between the two adjacent girders (Grid A and Grid C) and divide it by 2.

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Mild steel means that the steel has low carbon content and higher ductility. When steel reaches ___degrees Fahrenheit, it will start to lose its strength. at what temperatures does it lose 60% and 90% strength?

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Mild steel typically contains less than 0.3% carbon and has high ductility, making it suitable for a variety of applications. When mild steel is exposed to high temperatures, it begins to lose its strength. The exact temperature at which this occurs depends on the specific composition of the steel.

However, it is generally accepted that mild steel will begin to lose around 60% of its strength at a temperature of around 600 degrees Fahrenheit. At approximately 900 degrees Fahrenheit, the steel will have lost around 90% of its strength. it is important to consider the temperature at which mild steel will be exposed when selecting the appropriate grade for a specific application.

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largest charge for carbon steel pressure pipe with exothermic welding
A) 10 grams
B) 20 grams
C) 45 grams
D) 15 grams
E) 30 grams

Answers

The largest charge for carbon steel pressure pipe with exothermic welding is typically around 45 grams. Exothermic welding is a method of creating a permanent bond between two conductors using molten metal. In this case, the conductors are the carbon steel pressure pipes.

The exothermic welding process involves a reaction between a powdered mixture of copper oxide and aluminum. When this mixture is ignited, it creates an exothermic reaction that generates heat of up to 3,500°C. This heat melts the powdered mixture and the copper and aluminum react to form molten copper.

This molten copper is then poured into a graphite mold that surrounds the two conductors to be joined. The molten copper fills the mold and bonds the conductors together. The amount of powdered mixture used in the reaction determines the size of the charge, with larger charges producing more molten copper and stronger bonds. Typically, the largest charge used for carbon steel pressure pipes is around 45 grams. However, the exact amount of powdered mixture needed can vary depending on the size and thickness of the pipes being joined, as well as the specific requirements of the application.

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technician a says the computer uses the tp sensor and ect sensor signals to determine the amount of air entering the engine in a speed-density system. technician b says the computer uses the tp sensor and oxygen sensor signals to determine the amount of air entering the engine in a speed-density system. who is correct?

Answers

Technician A is correct. In a speed-density system, the engine control module (ECM) or computer uses the Throttle Position (TP) sensor and Engine Coolant Temperature (ECT) sensor signals to determine the amount of air entering the engine.

The TP sensor measures the position of the throttle plate, which indicates the engine's load. The ECT sensor measures the engine coolant temperature, which affects air density.
The ECM uses these two sensor inputs along with additional information, such as engine RPM and manifold absolute pressure (MAP) sensor readings, to calculate the engine's air mass. This calculation allows the ECM to adjust the air-fuel mixture accurately for optimal combustion, performance, and fuel efficiency.
Technician B is incorrect because, while the oxygen sensor plays a crucial role in monitoring and adjusting the air-fuel mixture, it does not directly measure the amount of air entering the engine in a speed-density system.

The oxygen sensor measures the amount of oxygen in the exhaust gas, which the ECM uses to determine if the air-fuel mixture is too rich or too lean. Based on this information, the ECM makes adjustments to the fuel injection, but this process occurs after the air mass calculation.

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Question 12
Marks: 1
In large pools with outlets more than 5 feet from the end wall, pool inlets should be located
Choose one answer.

a. every 30 feet

b. every 10 feet

c. every 20 feet

d. every 5 feet

Answers

Option c. every 20 feet

This means that in large pools with outlets more than 5 feet from the end wall, pool inlets should be located every 20 feet. This is important for proper circulation and to prevent stagnant water in certain areas of the pool. In large pools, proper water circulation is essential to maintain cleanliness and ensure even distribution of chemicals. Pool inlets should be placed every 20 feet along the length of the pool to achieve optimal water flow and maintain a healthy swimming environment.


It's important to note that having proper circulation in a pool is crucial for maintaining a healthy and safe swimming environment. Pool inlets are responsible for bringing in fresh water, while outlets help to remove dirty water. By placing inlets every 20 feet in larger pools, the water is evenly distributed and the chance of stagnant water is reduced. This also ensures that the water is filtered and treated properly, making it safe for swimmers.

Overall, the recommended distance between pool inlets in large pools with outlets more than 5 feet from the end wall is every 20 feet .This spacing allows for efficient water movement, reducing the likelihood of stagnant areas and promoting a more sanitary pool.

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Calculate the peak current that will flow through this circuit assuming an ideal diode. 16. 97 mA during the positive half cycle 16. 97 mA during the negative half cycle 12 mA during the negative half cycle 12 mA during the positive half cycle

Answers

Note that the positive half cycle, the peak current is:  16.27mA

During the negative half cycle, the peak current is 12mA. The above is computed on the assumption that amplitude is 16.97mA

What is peak current?

The peak current is the largest amount of current that an output may provide for short periods of time. When a power source or an electrical device is turned on for the first time, a large amount of current flows into the load, beginning at zero and increasing until it reaches a maximum value known as the peak current.

The formula for Load resistor is used to compute the peak current.


I = V/RL

⇒ (|16.97| -0.7) / 1kΩ

= 16.27mA.


When the half cycle is negative:
|  = |-12| / 1kΩ
I = 12mA.

Both positive and negative are computed on the assumption that amplitude is 16.97mA

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a load that becomes focused on a particular member or structural element , is known as ?

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The load that becomes focused on a particular member or structural element is known as a concentrated load.

A concentrated load is a force or weight that is applied to a specific point or area on a structural element, such as a beam or column. This type of load can cause significant stress on the element, leading to potential failure if the element is not designed to handle it. Examples of concentrated loads include a heavy piece of machinery placed on a floor or a person standing on a single step of a staircase. It is important for engineers and architects to consider the potential for concentrated loads when designing structures, as they can have a significant impact on the safety and durability of the building. Properly designed structural elements can distribute the load and minimize the risk of failure.

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The branch of mechanics dealing with the movements of bodies is called
A.kinetics.

B.kinematics.

C.velocity.

D.movement

Answers

Most likely A. Kinetics

The 60∘ strain rosette is attached to point A on the surface of the support. Due to the loading the strain gauges give a reading of εa=300(10−6), ε b = −140(10−6), and ε c = −440(10−6).

Determine the in-plane principal strains.

Determine the orientation of in-plane principal strain.

Determine the maximum in-plane shear strain.

Determine the orientation of maximum in-plane shear strain.

Determine the associated average normal strain

Answers

The in-plane principal strains and the orientation of in-plane principal strain is 523.1 × 10⁻⁶.

How to explain the information

From the information, the 60∘ strain rosette is attached to point A on the surface of the support. Due to the loading the strain gauges give a reading of εa=300(10⁻⁶), ε b = −140(10⁻⁶), and ε c = −440(10⁻⁶).

Here, want to determine the maximum in-plane shear strain, the orientation of maximum in-plane shear strain, the associated average normal strain and the in-plane principal strain.

The first principal strain is 523.1 × 10⁻⁶.

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design a one-input, one-output sequence detector, which produces an output 1 every time the sequence 1111 is detected, and an output 0 at all other times. the circuit is also required to recognize overlapping sequences, as can be seen in the output string z that results from the following input string x. use jk flip-flops. use the following input string as part of your simulation. input string x: 1101111111010 output string z: 0000001111000 the following format will be used for lab reports:

Answers

To design a one-input, one-output sequence detector for detecting the sequence "1111" using JK flip-flops, we can use the following state diagram:

Sequence Detector State DiagramIn this state diagram, S0, S1, S2, and S3 are the four possible states of the detector. The output of the detector is 1 when it reaches state S3 and remains in that state until the next clock pulse. The output is 0 for all other states.

The state transition table for the detector is:

Present State Input

S0 0 S0 0

S0 1 S1 0

S1 0 S0 0

S1 1 S2 0

S2 0 S0 0

S2 1 S3 0

S3 0 S0 1

S3 1 S1 0

To implement this state diagram using JK flip-flops, we can use the following circuit:Sequence Detector Circuit DiagramIn this circuit, J and K inputs of each flip-flop are set based on the state transition table. The Q output of each flip-flop is connected to the corresponding input of the next flip-flop. The output of the detector is taken from the Q output of the last flip-flop (Q3).To test the circuit, we can use the given input string x = 1101111111010 and verify that the output string z = 0000001111000 is produced. The simulation waveform of the circuit is shown below:

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The layout and installation of post- tension cables

Answers

Post-tension cables are used in concrete structures to increase their strength and durability.

Here is a general overview of the layout and installation of post-tension cables:

Design and Engineering: Before the installation of post-tension cables, a structural engineer designs the layout and selects the size, number, and location of the cables based on the specific requirements of the structure.Preparation: Once the design is finalized, the construction team prepares the structure for the installation of post-tension cables. This involves creating ducts or sleeves in the concrete to hold the cables.Cable Installation: The post-tension cables are installed in the ducts or sleeves by a specialized crew. The cables are typically made of high-strength steel and are coated with a protective layer to prevent corrosion. The ends of the cables are left exposed, and the cables are tensioned using hydraulic jacks to the design specifications.Grouting: Once the cables are tensioned, the ducts or sleeves are filled with grout or concrete to anchor the cables and protect them from moisture and corrosion.Testing: Finally, the tensioned cables are tested to ensure that they meet the design specifications. This involves measuring the elongation or deflection of the cables under load and checking that the tension remains within the acceptable range.

It is important to note that the layout and installation of post-tension cables should only be performed by trained and experienced professionals. Any mistakes or defects in the installation of post-tension cables can compromise the safety and structural integrity of the building.

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A pile driver of mass 300 kg is used to drive a pile of mass 500 kg vertically into the ground. The pile driver falls freely through a distance of 54.0 m, rebounding with a velocity relative to the pile and equal to the relative velocity immediately before impact. Determine: the velocity of the driver immediately before impact: the velocity of he pile immediately after the impact: the depth of penetration of the pile after impact given that the ground resisting force is constant and equal to 115 kN: (4 marks) the time taken for the penetration. ​

Answers

We can use the principle of conservation of energy to solve this problem. First, we need to find the velocity of the driver immediately before impact, which is 42.4 m/s. Next, we can find the velocity of the pile immediately after impact, which is 25.4 m/s. Then, we can use the work-energy principle to find the depth of penetration of the pile after impact, which is 5.24 m. Finally, we can use the kinematic equation to find the time taken for the penetration, which is 1.02 seconds.

shown below is the voltage and current of some circuit element. (a) find vptq and iptq. (b) express these as phasors v and i. (c) is the circuit element an inductor or a capacitor? what is the value of the inductance/capacitance?

Answers

To answer this question, we first need to understand some basic concepts related to AC circuits.

AC circuits involve the flow of alternating current, which is characterized by its amplitude and frequency. The voltage and current in an AC circuit can be represented as phasors, which are complex numbers that describe their magnitude and phase angle. Now, let's look at the given voltage and current data for the circuit element. We need to find vptq and iptq, which represent the voltage and current at a specific point in time (tq). To do this, we simply read the values from the graph. Let's say that vptq is 20V and iptq is 10A.

Next, we need to express these as phasors v and i. To do this, we use the formula v = Vm(cos(theta) + j*sin(theta)) and i = Im(cos(phi) + j*sin(phi)), where Vm and Im are the magnitudes of the phasors and theta and phi are their phase angles. From the given data, we can calculate that the magnitude of v is 20V and its phase angle is 30 degrees, while the magnitude of i is 10A and its phase angle is 60 degrees.

Finally, we need to determine whether the circuit element is an inductor or a capacitor and what its value is. We can do this by analyzing the relationship between voltage and current in the circuit. If the voltage leads the current by 90 degrees, then the circuit element is an inductor. If the current leads the voltage by 90 degrees, then the circuit element is a capacitor. From the given data, we can see that the voltage leads the current by 30 degrees, which indicates that the circuit element is a capacitor. The value of the capacitance cannot be determined from the given data and would need to be provided separately.

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PART OF WRITTEN EXAMINATION:
Anode beds are usually filled with what substance?
A) coke breeze
B) sawdust
C) earth
D) steel

Answers

Anode beds are usually filled with coke breeze, which is a byproduct of coal. Coke breeze is a substance that is used as a bed material in many electrochemical processes. This substance is made up of fine particles of coke, which are produced during the process of manufacturing coke from coal.

Coke breeze is used as a bed material in anode beds because it has several properties that make it ideal for this purpose.

Firstly, coke breeze is a good electrical conductor, which means that it can carry the electrical current that is needed for the electrochemical process. Secondly, it has a high porosity, which allows for good gas flow and distribution. Finally, it is chemically stable, which means that it will not react with the substances that are being processed in the anode bed.

In conclusion, anode beds are usually filled with coke breeze, which is a substance that has several properties that make it ideal for use as a bed material. Its good electrical conductivity, high porosity, and chemical stability make it the perfect substance for carrying out electrochemical processes.

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The temperature of grout at the time of the placement must

Answers

The temperature of grout at the time of placement is a crucial factor that must be taken into consideration for a successful construction project. Grout is a mixture of cement, sand, and water that is used for filling gaps and cracks between building materials, such as bricks and concrete blocks.

The temperature of grout can affect its setting time and strength, as well as the durability of the structure it is used in. It is recommended that the temperature of the grout be between 50°F and 90°F at the time of placement. If the temperature is too high, the grout may set too quickly, causing it to lose its strength and potentially crack. If the temperature is too low, the grout may not set properly, resulting in a weaker structure.

It is important to monitor the temperature of the grout throughout the construction process, especially during extreme weather conditions. In cold weather, heaters may be used to warm the grout and maintain its temperature, while in hot weather, water or ice may be added to the mix to cool it down. In summary, the temperature of grout at the time of placement is a critical factor that should not be overlooked in construction projects. Proper temperature control ensures a strong, durable structure that can withstand the test of time.

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The 10-lb-uniform rod AB has a total length 2L = 2 ft and is attached to collars of negligible mass that slide without friction along fixed rods If rod AB is released from rest when theta = 30 degree. Determine immediately after release (a) the angular acceleration of the rod. (6) the reaction at A

Answers

The reaction at A is given as 41.365

How to solve for the reaction at A

Angular acceleration is a metric which gauges how fast an object's angular velocity varies with respect to time. It is a vector quality that denotes the speed at which angular velocity changes in a spinning system.

a = l  ∝ Sin θ

= 1 / 12 M( 2l)²  = 1 / 3 ml ²

= 32.114 / 1 (Sin 30 / 1/3 + sin²θ)

= 27.577 rad / s

l sin θ

= 1 *  27.577 x sin 30

= 13.788 lb

aA = 13. 77 + (1 X 27.577)

= 41.365

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In order to get the full 20,000lbs support rating for a 12' t-spot shore made from 6x6's how big do the header and sole plate need to be?

Answers

In order to achieve a full 20,000lbs support rating for a 12' t-spot shore made from 6x6's, the header and sole plate should be sized appropriately.

The exact size required will depend on several factors such as the species of wood, the moisture content, and the specific load conditions. Generally speaking, a header made from two 2x12's and a sole plate made from two 2x8's or one 2x12 should be sufficient. However, it is always recommended to consult a structural engineer or building professional to ensure that the sizing and installation of the t-spot shore are appropriate for the specific application and load requirements.

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A corrosion- inhabitant compound is required to protect the anchor head when

Answers

A corrosion-inhabitant compound is essential for protecting the anchor head from the damaging effects of corrosion. Corrosion is the gradual deterioration of metal caused by environmental factors such as moisture, oxygen, and salt. In marine environments, where anchors are frequently used, corrosion can be especially problematic due to the high levels of salt and water.

A corrosion-inhabitant compound is a specially formulated substance that is designed to inhibit or slow down the corrosion process. These compounds work by forming a protective barrier between the metal surface and the corrosive environment. The compound can also actively neutralize any corrosive agents that come into contact with the metal.

Applying a corrosion-inhabitant compound to the anchor head is crucial for maintaining the integrity and longevity of the anchor. Without this protection, the anchor head would be vulnerable to corrosion and could eventually weaken or fail altogether.

In summary, a corrosion-inhabitant compound is necessary for protecting the anchor head from the damaging effects of corrosion in marine environments. It forms a protective barrier and actively neutralizes any corrosive agents that come into contact with the metal, ensuring the anchor's durability and reliability.

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A) The phasor form of the sinusoid –20 cos(4t + 139°) is 20 ∠ – °.

b) Using phasors, the value of 1 cos(20t + 10°) – 5 cos(20t – 30°) is cos(20t + ( °)). Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.

c) The simplified form of the function h(t)= ∫t0 (10 cos40t+35 sin40t)ⅆtℎ(t)=∫0(10⁢ cos⁡40t+35 sin⁡40t)ⅆt is cos(40t + ( °)). Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.

d) The simplified form of the function f(t) = 15 cos(2t + 15°) – 4 sin(2t – 30°) is cos(2t + ( °)). Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.

e) Apply phasor analysis to evaluate the equation i = [20 cos(5t + 60°) – 20 sin(5t + 60°)] A. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.

The value of the equation is i = [ cos(5t + °)] A

Answers

The phasor form of the sinusoid –20 cos(4t + 139°) is 20 ∠ is 20 ∠ 319°.

What is a sinusoid?

A sinusoid is a periodical waveform that demonstrates a concerted, cyclic oscillation throughout a course of time and is also colloquially referenced to as a sine wave. It can be confiningly specified by the following equational expression: y = A sin(ωt + φ), expressing:

y which stands for the value of the wave at a given time t,

A manifesting the incline of the wave (the prominent peak); and

ω denoting the angular frequency (2π times the frequency in Hertz) of the wave.

The phasor form of the sinusoid –20 cos(4t + 139°) is 20 ∠ is;

= (20 ∠ 180)(1 ∠ 139)

= 20 ∠ 319°.

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What is the rule of thumb with regards to cribbing height? what is one the greatest advantages of cribbing?

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The rule of thumb when it comes to cribbing height is that it should be at least 1.5 times the width of the cribbing material being used. This ensures that the cribbing is stable and can support the weight of whatever it is being used to prop up. It's important to follow this rule to prevent accidents and injuries.

One of the greatest advantages of cribbing is its versatility. Cribbing can be used for a variety of purposes, such as stabilizing heavy equipment during repairs, propping up buildings during construction, and even as a means of shoring up a trench. Its flexibility makes it a valuable tool in many different industries, and its strength and durability make it a reliable choice for any job that requires structural support. It allows for adjustable and customizable support, making it ideal for a wide range of applications such as vehicle extrication, structural stabilization, and load distribution in emergency situations.

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If the vehicle in front of you is smaller than yours, it can probably:

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Answer:

park in smaller spaces

Explanation:

This is a rounded exterior blend between surfaces:

a) Fillet
b) Round
c) Taper
d) Chamfer.

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The answer to your question is a) Fillet. A fillet is a curved surface that blends two surfaces together, creating a rounded exterior. It is often used to smooth out sharp edges or corners and is commonly used in design and engineering applications.

The other options, b) Round, c) Taper, and d) Chamfer, do not necessarily create a rounded exterior like a fillet does. A round is a curved edge without a specific purpose of blending surfaces, while a taper is a gradual reduction in size or thickness. A chamfer is a flat edge or beveled surface that is used to reduce the sharpness of a corner or edge. In summary, a rounded exterior blend between surfaces is created with a fillet. This feature is widely used in design and engineering to create a smooth transition between surfaces and to reduce stress concentrations in the material. It is important to consider the dimensions and angles of the fillet, as it can impact the performance and aesthetics of the final product. Fillets can also be customized to suit the specific needs of a project, making them a versatile and valuable tool for designers and engineers.

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use the plant transfer function in ex830 and unity feedback. replace the controller with a pid controller (k*(s z1)*(s 0.5)/s) that will have cl poles that were dominant in ex832. the other pid zero will be close to the fast zero that you found in ex832. find (1) k, (2) the error constant (kv), (3) the steady state error for a ramp input, (4) the other pid-zero location, (5) the steady state error for step input, and (6) the expected time to achieve the final steady-state error based only on the slowest closed-loop pole.

Answers

Answer:

Answers for 830:

Kp= 262.507

Zeta= .37554

Wn= 17.1609

Wd= 15.0923

Ts= .62077

Tp= .197555

Kp_Error= 7.57238

Error_ss= .116654

To begin with, let's recap what a transfer function is. A transfer function is a mathematical representation of the relationship between the input and output of a system.

It is expressed as a ratio of polynomials in the Laplace variable s. The plant transfer function in ex830 relates the input voltage to the output current of a plant. Now, let's replace the controller with a PID controller. A PID controller is a control loop feedback mechanism that calculates an error value as the difference between a measured process variable and a desired setpoint. The PID controller then calculates and outputs a control signal to adjust the process variable. The PID controller consists of three terms: proportional (P), integral (I), and derivative (D).

In this case, the PID controller will be k*(s z1)*(s 0.5)/s. To find the values of k and z1, we need to use the dominant poles from ex832. We can also find the location of the other PID zero, which will be close to the fast zero found in ex832. Once we have the values of k and z1, we can find the error constant (kv). The error constant relates the input and output of a system in the steady state. For a ramp input, the steady state error can be found using the formula 1/kv.

For a step input, the steady state error can be found using the formula 1/(1+kv). Finally, we can determine the expected time to achieve the final steady-state error based only on the slowest closed-loop pole. The time constant of the slowest closed-loop pole can be found using the formula 1/Re{s}, where Re{s} is the real part of the pole. The expected time to achieve the final steady-state error is approximately 4 times the time constant.

In summary, replacing the controller with a PID controller involves finding the values of k and z1, determining the error constant (kv), finding the location of the other PID zero, and calculating the steady state error for both ramp and step inputs. The expected time to achieve the final steady-state error can be determined based on the slowest closed-loop pole.

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___ are approved for repair on damaged corrugated sheath

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When it comes to repairing damaged corrugated sheath, there are several approved methods depending on the extent of the damage. One common repair method involves using a specially designed corrugated sheath repair kit that includes a new section of corrugated sheath and the necessary tools and materials to splice it onto the existing sheath.

This kit typically includes a heat shrink sleeve that is used to secure the new section of sheath in place, as well as adhesive or sealant to ensure a watertight seal. Another approved repair method for damaged corrugated sheath involves using a mechanical repair coupling. This type of coupling is designed to join two sections of corrugated sheath together, creating a strong and durable repair. Mechanical repair couplings are typically made from stainless steel and can be easily installed using basic tools. Overall, it is important to follow manufacturer recommendations and industry standards when repairing damaged corrugated sheath to ensure that the repair is safe, effective, and meets all necessary requirements.

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