Find the forces in all members using the Joint method

Find The Forces In All Members Using The Joint Method

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Answer 1

The forces in all members using the Joint method are 12 kN and 18 kN

Finding the forces in all members using the Joint method

Start by identifying the external forces and reactions:

In this case, there are two external forces acting on the structure, and they are:

12 kN at point C and 18 kN at point F.

Applying the equations of equilibrium to each joint and solving for the forces in the members, we have

At joint C

sum of forces in x direction = 0:

sum of forces in y direction: DCUp = 12 kN

sum of moments = 0:

12 * 0 = 0

0 = 0

Solving these equations, we get:

DCUp = 12 kN

At joint F

sum of forces in x direction: EFG = 18 kN:

sum of forces in y direction = 0

sum of moments = 18 * 2 - 18 * 2

sum of moments = 0

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Related Questions

what is a sign of galvanic corrosion on mounting hardware? select one: a. green streaks b. it leaves no streaks c. black and blue streaks d. orange/brown streaks

Answers

Galvanic corrosion can produce orange/brown streaks on mounting hardware.

The sign of galvanic corrosion on mounting hardware is orange/brown streaks. What is galvanic corrosion? Galvanic corrosion is an electrochemical reaction that occurs when two different metals come into touch with each other in the presence of an electrolyte (such as saltwater). Galvanic corrosion occurs when the cathode and anode are placed in contact with each other. The metal that corrodes is the anode in this situation. In regards to the given question, the sign of galvanic corrosion on mounting hardware is orange/brown streaks. Therefore, the correct option is d) orange/brown streaks. What are the effects of galvanic corrosion? Galvanic corrosion can cause a variety of issues. It may have an impact on the product's structural integrity. For example, galvanic corrosion in bridges and automobiles can reduce the structural integrity of these structures.

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1. Can the physical address 346E0 be the starting address for a segment? Why or why not?

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No, the physical address 346E0 cannot be the starting address for a segment. This is because the starting address of a segment must be aligned with the segment's size or boundary, which is determined by the processor's architecture.

What is segment boundaries ?

Segment boundaries are defined by 16-byte or 4-byte boundaries, depending on the segment's use. Therefore, the starting address of a segment must be a multiple of 16 or 4, respectively, depending on the segment type.

In the given address 346E0, the last digit is 0, which indicates that it is a multiple of 16. However, we do not have enough information about the processor architecture and segment size to determine whether this is an appropriate starting address for a segment.

In general, when defining a segment, it is important to ensure that the starting address is properly aligned with the segment's boundary to avoid any issues with memory access and processing.

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in a high pass filter, the cutoff frequency is affected only by the input resistor value not the feedback group of answer choices true false

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Answer: true

Explanation: Cutoff frequency = 1/(2 *pi* R1*C) hence the cutoff frequency depends only on inpur resistance…

The claim that "in a high pass filter, the cutoff frequency is affected only by the input resistor value" is incorrect.

The statement "in a high pass filter, the cutoff frequency is affected only by the input resistor value" is FALSE. A high-pass filter is an electronic circuit that enables high-frequency signals to pass while suppressing low-frequency signals. A high-pass filter is typically used to remove the DC component of an audio signal. The high-pass filter is made up of a capacitor and a resistor that are linked in series.When the input voltage rises above the capacitive reactance (Xc), which is inversely proportional to frequency, the high-pass filter will only allow frequencies higher than the cutoff frequency (fc) to pass. The cutoff frequency is determined by the circuit's values of R and C; a larger value for either component will result in a lower cutoff frequency. When a frequency is greater than the cutoff frequency, the high-pass filter works as a low impedance path to ground.In a high-pass filter, the cutoff frequency is influenced by both the input resistor value and the feedback resistor value. As the feedback resistor value increases, the filter's cutoff frequency decreases, and vice versa.

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when a composite resin is polymerized, a small layer of uncured material will remain. what is this called?

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Answer:

Oxygen-inhibited. Hypersensitive

It is important to remove the OIL by polishing the composite resin after it has polymerized. When a composite resin is polymerized, a small layer of uncured material will remain. This layer is called the oxygen-inhibited layer.

What is the oxygen-inhibited layer?The oxygen-inhibited layer (OIL) is a thin layer of uncured resin that covers the surface of a composite resin when it has polymerized. The OIL is produced during the polymerization process because the oxygen in the air inhibits the polymerization of the composite resin on the surface. This results in a layer of uncured material on the top.The OIL may have a negative impact on the durability and mechanical properties of the composite resin. The surface of the composite resin can become weakened, making it more vulnerable to damage. It can also accumulate dirt and bacteria, leading to discoloration and decay.

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the terms used in a fuzzy logic system to describe imprecise states or conditions are referred to as: group of answer choices

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One should be concise and provide only relevant details while ignoring any typos or irrelevant parts of the question.Using the following terms in your answer, student question: the terms used in a fuzzy logic system to describe imprecise states or conditions are referred to as: group of answer choices in 200 words

The terms used in a fuzzy logic system to describe imprecise states or conditions are referred to as linguistic variables. In fuzzy logic, the input variables are not represented as specific numerical values but rather in linguistic terms that describe their state or condition. These linguistic variables are defined using fuzzy sets and are represented using fuzzy membership functions.Fuzzy sets are used to define these linguistic variables. A fuzzy set is defined by a membership function that assigns a membership value to each element in the set. The membership value represents the degree of membership of an element in the set. The membership function can take any shape, but it is typically a curve that starts at 0 and increases to 1 as the element moves closer to the center of the set.Linguistic variables can be used to describe a wide range of imprecise states or conditions, such as temperature, speed, height, weight, and so on. They allow us to represent complex and imprecise concepts in a more natural and intuitive way. By using fuzzy logic, we can create systems that can make decisions based on imprecise or incomplete information, which is essential in many real-world applications.

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The number of telephone calls that pass through a switchboard has a mean equal to 2 per minute. The probability that one telephone calls pass through the switchboard in three minutes i

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The probability that one telephone call passes through the switchboard in three minutes is 1.49%.


Calculating the probability

Using the Poisson probability formula, we can calculate the probability of exactly one call passing through the switchboard in 3 minutes as follows:

P(X = 1) = (e^(-6) * 6^1) / 1!

Where

6 = 2 per minute * 3 minute

X is the number of calls passing through the switchboard in 3 minutes.

So, we have

P(X = 1) = (e^(-6) * 6^1) / 1!

= (0.00248 * 6) / 1

= 0.0149

Therefore, the probability that one telephone call passes through is approximately 0.0149, or about 1.49%.

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for a single crystal fcc metal, under uniaxial tension test along its [124] direction, the yield point is 150 mpa. the slip system is (bar{1}11) [101]. calculate the critically resolved shear stress of this particular metal, in units of mpa.

Answers

The critically resolved shear stress of this particular metal, along the (bar{1}11) [101] slip system, is 150 MPa

The critically resolved shear stress (CRSS) is a measure of the amount of stress required to initiate plastic deformation in a crystal along a particular slip system. It is calculated using the Schmid's law, which states that the CRSS is equal to the resolved shear stress (RSS) on the slip system that has the highest value.

The resolved shear stress (RSS) can be calculated using the following formula:

[tex]RSS = \sigma * cos(\theta ) * cos(\lambda )[/tex]

Where:

σ is the applied stress along the loading direction,

θ is the angle between the slip direction and the loading direction, and

λ is the angle between the slip plane and the sample surface normal.

Given:

Yield point (σ) = 150 MPa

Slip system: (bar{1}11) [101]

θ = angle between slip direction and loading direction = 0 degrees (since slip direction [101] is perpendicular to loading direction [124])

λ = angle between slip plane and sample surface normal = 0 degrees (since slip plane is parallel to sample surface)

Plugging in these values into the formula:

[tex]RSS = 150 * sin(0) * cos(0) = 150 * 1 * 1 = 150 MPa[/tex]

Since there is only one slip system given, which is (bar{1}11) [101], the CRSS will be equal to the RSS, which is 150 MPa.

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The mechanism used in a marine engine consists of a crank AB and two connecting rods BC and BD. Determine the velocity of the piston at D the instant the crank is in the position shown and has an angular velocity of5 rad/s.

Answers

The velocity at d is given as 0.518

How to solve for the velocity

r / sin 30 = 0.4 / sin 45

r = 0.546 m

From here we have to find the value of vB =

wAB * AM = 1 m / s

angular velocity of BC

= Vb / r = 1.83

Vd - = WBC / r

= 0.518

velocity at C = 0.368

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Solve the differential equations
(+1)/dx=(^2+1)

Answers

Answer: x=3d , d[tex]\neq[/tex]0

Explanation:

(+1)/dx=(^2+1)

x=3d, d[tex]\neq[/tex]0

Steps

(1)/d x = 2+1

add the number = 2+1 =3

(1)/dx=3

simplify (1)/d = 1/d  remove parentheses

1/dx = 3

Multiply both sides

1/dxd = 3d ; d[tex]\neq[/tex]0

simplify x=3d , d[tex]\neq[/tex]0

The purpose of trench shoring is to

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The purpose of trench shoring is to prevent movement of soil, underground utilities, roadways, and foundations. It’s mostly to prevent movement


4. Draw the block diagram of a real time DSP system and
briefly explain each component.

Answers

[tex] \: [/tex]

A real-time digital signal processing (DSP) system typically consists of several components, including:

1. Input signal: The input signal is the signal to be processed, which is typically acquired from an analog-to-digital converter (ADC) or a digital communication system.

2. Digital signal processing algorithm: The digital signal processing algorithm is the mathematical algorithm that processes the input signal to produce the desired output signal. This algorithm is typically implemented using a digital signal processor (DSP) or a field-programmable gate array (FPGA) programmed with digital signal processing software.

3. Memory: Memory is used to store the input signal, intermediate results, and output signal. Memory can be implemented using dynamic random-access memory (DRAM), static random-access memory (SRAM), or flash memory.

4. Output signal: The output signal is the signal that has been processed by the digital signal processing algorithm and is ready for further use or transmission. The output signal is typically sent to a digital-to-analog converter (DAC) or a digital communication system.

5. Clock and timing circuitry: The clock and timing circuitry provides synchronization signals and timing information to ensure that the digital signal processing algorithm operates correctly and in real-time.

6. Power supply: The power supply provides the necessary voltage and current to operate the digital signal processing system.

The block diagram of a typical real-time DSP system is shown below:

```

+-------------------+

| Input Signal |

+-------------------+

|

V

+-------------------+

| Digital Signal |

| Processing |

| Algorithm |

+-------------------+

|

V

+-------------------+

| Memory |

+-------------------+

|

V

+-------------------+

| Output Signal |

+-------------------+

```

In summary, a real-time DSP system consists of an input signal, a digital signal processing algorithm, memory, an output signal, clock and timing circuitry, and a power supply. Each component plays a critical role in the processing of the input signal to produce the desired output signal.

1. calculate the actual and theoretical speed ratio for the assembled drive. 2. what are the key reasons behind variation in the observed and experimental speed ratio values? 3. what is the torque generated on both driver and driven side? 4. what is the input and output hp. type of sprockets and chain? 5. what will be the chain length?

Answers

To calculate the theoretical speed ratio, divide the number of teeth on the driven sprocket by the number of teeth on the driver sprocket.

For experimental speed ratio, measure the actual speed of the driver and driven sprockets, then divide the driven sprocket speed by the driver sprocket speed.2. Variations in the observed and experimental speed ratio values may be due to factors such as friction, manufacturing tolerances, misalignment of sprockets, chain wear, or elastic deformation in the system.3. To calculate torque on the driver and driven sides, you'll need to know the force applied to the system and the distance from the center of the sprockets to the point of force application. Torque = Force × Distance. The torque on the driven side is generally equal to the torque on the driver side, minus any losses due to friction and inefficiencies.4. To determine input and output horsepower, use the following equation: HP = (Torque × RPM) / 5252. You'll need to measure the torque and RPM on both the input (driver) and output (driven) sides of the system. For the type of sprockets and chain used, refer to the manufacturer's specifications or examine the components.5. To calculate the chain length, use the following formula: Chain Length = (Number of teeth on driver sprocket + Number of teeth on driven sprocket) / 2 + (Center distance between sprockets × 2). This will give you the chain length in terms of the number of chain pitches. Multiply this number by the pitch of the chain to get the actual chain length.

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describe seedbed preparation for commercial pineapple growing?​

Answers

Land preparation, soil sterilisation, fertilisation, bed creation, mulching, irrigation, and planting are typically the procedures involved in seedbed preparation for commercial pineapple production.

How is pineapple used commercially?

Typically, slip, and crown are used to propagate pineapple. With the exception of crowns, which bear blooms after 19–20 months, these planting materials that are 5–6 months old begin to bloom after 12 months of planting.

How should the soil be prepared before planting pineapples?

Mix a little amount of organic manure or compost into the top 12 inches of soil to prepare the area for the pineapple plants. Ideally, do this approximately a week prior to planting. Compost aids in the soil's ability to retain water and vital nutrients, which supports the growth of the pineapple plants' roots.

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what kind of warehouse is created to serve customers whether they order in bulk quantities, like full-pallet quantities, or individual items for household delivery?
-All-purpose warehouse -mnipotent warehouse -mni-shore warehouse -mni-channel warehouse Versatile warehouse

Answers

Answer:

The type of warehouse that is created to serve customers who order in both bulk quantities (such as full-pallet quantities) and individual items for household delivery is called a "multi-channel warehouse."

Explanation:

A multi-channel warehouse is designed to accommodate various types of order fulfillment methods, including traditional retail, e-commerce, and wholesale distribution. It allows companies to cater to different customer needs, whether they prefer to purchase in bulk or individual quantities.

This type of warehouse is versatile and can handle various order types, including single-item orders, pallet orders, and even special requests like customized packaging or labeling. The warehouse can also integrate with different sales channels, such as online marketplaces, brick-and-mortar stores, and third-party logistics providers.

Termination or suspension of a project is a drastic remedy available

Answers

Answer: A contract suspension is the temporary cessation of performance. It's not the same as the suspension of a particular contractor or supplier. It also differs from termination, which is a permanent cessation of performance. An order to suspend or terminate a project may result from a variety of circumstances – owner, economic, political/public, environmental, or other imminent threats. Termination of a contractor and use of a replacement contractor typically (though not always) costs money and delays project completion. In addition, if the terminating party doesn't have sufficient grounds to terminate, that party may be exposed to lost profits and other damages due to wrongful termination.

Explanation:

What is an account balance?

Answers

Answer:

the balance is the amount of money owed on an account

Explanation:

the state of stress at a point is plane stress with in-plane principal stresses 2.0 mpa and 8.0 mpa. what is the absolute maximum shear stress at this point?

Answers

As the given state of stress at a point is plane stress with in-plane principal stresses 2.0 MPa and 8.0 MPa, the absolute maximum shear stress at this point can be found by .

The formula σ(max) = (σ(max)^2 + τ(max)^2)^0.5whereσ(max) = Maximum principal stress = 8.0 MPa.τ(max) = Maximum shear stress.The absolute maximum shear stress at this point is required. So, using the above formula we can write (τ(max))^2 = (σ(1) - σ(2))^2 + 4τ(1, 2)^2whereσ(1) = Maximum principal stress = 8.0 MPa.σ(2) = Minimum principal stress = 2.0 MPa.τ(1, 2) = Shear stress at 45 degrees = 0, because the given state of stress is plane stress.So, the above equation reduces to(τ(max))^2 = (8.0 - 2.0)^2 = 36.0 MPa^2Therefore, τ(max) = 6.0 MPa Hence, the absolute maximum shear stress at this point is 6.0 MPa.

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From a safety perspective, the most serious lift truck defect is

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From a safety perspective, the most serious lift truck defect is faulty or malfunctioning brakes.

From a safety perspective, the most serious lift truck defect can vary depending on the specific situation and context. However, some commonly identified serious lift truck defects from a safety standpoint may include:

Faulty or malfunctioning brakes: Defective brakes can significantly compromise the ability of a lift truck to stop or slow down properly, leading to potential collisions or accidents.Defective or damaged lifting mechanisms: If the lifting mechanisms of a lift truck, such as forks or attachments, are damaged or malfunctioning, it can pose serious risks during lifting operations, leading to dropped loads or other accidents.Electrical or hydraulic system failures: Electrical or hydraulic system failures can result in unexpected movements or loss of control of the lift truck, posing significant safety hazards to operators and bystanders.Steering system defects: Malfunctioning or damaged steering systems can lead to loss of control of the lift truck, increasing the risk of accidents or collisions.Tire or wheel defects: Defective or damaged tires or wheels can affect the stability and maneuverability of the lift truck, leading to potential accidents or tip-overs.Operator visibility issues: Poor visibility from the operator's perspective, such as obstructed views or malfunctioning mirrors, can increase the risk of accidents or collisions.Seat belt or safety restraint system failures: Faulty or missing seat belts or safety restraint systems can increase the risk of injury or fatality in the event of an accident or tip-over.

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The complete question is:

Fill in the blanks,

From a safety perspective, the most serious lift truck defect is ________________.

determine the minimum height of the beam shown below if the bending stress cannot exceed 20 mpa.is the max stress in tension or compression?

Answers

"max stress," "20 mpa," and "compression. "The minimum height of the beam shown below if the bending stress cannot exceed 20 Mpa is given by h= 146.26 mm (rounded to the nearest hundredth)The max stress can be in tension or compression.

Typos and irrelevant parts of the question should be ignored. Additionally, it is recommended to use the following terms in your answer,  What is stress? Stress is defined as the amount of force acting on a unit area of a material. The stress experienced by a material can be tension, compression, or shear. The bending stress experienced by a beam is an example of a normal stress. It is caused by a load that creates a moment around the beam's neutral axis. What is bending stress? When a beam is loaded by transverse forces, it experiences bending stress. When a beam bends, one side undergoes tension while the other undergoes compression. The maximum bending stress will occur at the point of maximum deflection. Therefore, the bending stress in a beam is a function of the beam's geometry and the magnitude of the load applied. Bending stress in a beam can be calculated using the following equation:σ = (M*y)/Iwhere:σ is the bending stress  M is the bending  is the distance from the neutral axis I is the moment of inertia

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A beam with L m length is simply supported on both ends as shown in the diagram has crOSS sectional area as below. The beam is subjected to concentrated load of 30 kN in the middle of the beam. If the maximum deflection is 0.857 m, determine: a) Second moment of area about neutral axis. b) The length L of the beam. Given E= 175 GN/m². 30 kN Lm 15 kN 50 mm 70 mm​

Answers

Note that, the length of the beam is 4 m. Substituting this value in the equation for I, we get:

I = 0.132×10^-4 m^4

What is the explanation for the above response?

We can use the formula for the maximum deflection of a simply supported beam with a point load at the center:

δmax = (FL^3)/(48E*I)

where δmax is the maximum deflection, F is the point load, L is the length of the beam, E is the modulus of elasticity, and I is the second moment of area about the neutral axis.

We can rearrange this formula to solve for I:

I = (FL^3)/(48E*δmax)

a) Second moment of area about the neutral axis:

Substituting the given values, we get:

I = (3010^3(L/2)^3)/(4817510^9*0.857)

I = 2.057×10^-8 L^3

b) Length L of the beam:

To solve for L, we need another equation relating the loads and dimensions of the beam. We can use the equation for the shear force at any point x along the beam:

V(x) = (F/2) - (1510^-3)(x - L/2)

where V(x) is the shear force at a distance x from one end of the beam.

We know that the maximum shear force occurs at the supports, where V(x) = 0. So we can solve for the distance from the supports to the point of maximum shear force:

(1510^-3)(L/2) = (30*10^3/2)

L = 4 m

Therefore, the length of the beam is 4 m. Substituting this value in the equation for I, we get:

I = 2.057×10^-8 * (4)^3

I = 0.132×10^-4 m^4

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5 8 7 6 the nodal voltage relative to the ground are: find voltage across . 2.512 (within three significant digits) find the current . 0.502 (within three significant digits) what is the power for the voltage source? 2.512 (within three significant digits) compute the current and 0.311 0.144 (within three significant digits)

Answers

In addition, the bot should use the following terms in their answer to the student question: 5 8 7 6 the nodal voltage relative to the ground are: find voltage across . 2.512 (within three significant digits) find the current . 0.502 (within three significant digits) 2.512 (within three significant digits) compute the current and 0.311 0.144

We will assume the voltage at node 2 is zero. Then, applying KCL at node 1: (V1 - 5)/8 + (V1 - 7)/6 + (V1 - 0)/3 = 0Simplifying the above equation, we get: V1 = 2.512VNow, the voltage across the 2Ω resistor is given by: V2 = V1 - 5 = -2.488V (Note that the negative sign indicates that the polarity of the voltage across the resistor is opposite to what we have assumed)The current through the 2Ω resistor can be found using Ohm's law: I = V/R = 2.488/2 = 1.244A (Note that the magnitude of the current is the same as the magnitude of the current through the 3Ω resistor)The power for the voltage source can be calculated as: P = VI = (V1 - 0)(2) = 2.512 x 2 = 5.024WFinally, we can calculate the current through the 3Ω resistor using Ohm's law: I = V/R = 0.311A (Note that the current is in the opposite direction to what we have assumed)The current through the 8Ω resistor can be found using KCL at node 2: (0 - V1)/8 + (0 - 0)/2 + (0 - V2)/3 + I = 0Simplifying the above equation, we get: I = 0.144A (Note that the current is in the same direction as what we have assumed)Thus, the current through the 8Ω resistor is 0.144A and the current through the 3Ω resistor is 0.311A.

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a material with a diameter of 8 mm is pulled with a force of 2,130 n. calculate the stress (in mpa). if the original length is 50 mm, what is the strain under load if it is elongated to 50.15 mm?

Answers

the strain is 0.15 mm / 50 mm = 0.003.

To calculate the stress (in MPa), first, we need to find the cross-sectional area of the material using the formula for the area of a circle: A = π(D/2)^2, where D is the diameter (8 mm). The area A = π(8/2)^2 = 50.27 mm².

Now, we can calculate the stress using the formula: Stress = Force/Area. Stress = 2,130 N / 50.27 mm² = 42.38 N/mm². Convert the stress to MPa: 42.38 N/mm² = 42.38 MPa.

To calculate the strain, use the formula: Strain = (Change in Length) / (Original Length). The change in length is the elongated length minus the original length: 50.15 mm - 50 mm = 0.15 mm.

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What are the three main functions of electrical drawing

Answers

An electrical drawing is a type of technical drawing that shows information about power, lighting, and communication for an engineering or architectural project.

Every A/C system has all of the following except

Answers

Every A/C system has all of the following except heater core

Completing the statement

An A/C (air conditioning) system is designed to cool and dehumidify the air inside a vehicle or a building.

It typically includes several components such as a compressor, condenser, evaporator, expansion valve, and a refrigerant.

Heater core is typically not a component found in an A/C (air conditioning) system.

A heater core is part of a vehicle's heating system, which works independently from the A/C system.

Therefore, the correct answer is Heater core.

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in case of a failure of both hydraulic system 2 and 3, accumulators in both systems provide pressure for how many brake applications?

Answers

In case of a failure of both hydraulic system 2 and 3, accumulators in both systems provide pressure for a minimum of two brake applications. In the B777 hydraulic system, the three hydraulic systems are designated as system 1, system 2, and system 3. The hydraulic system has three types of accumulators, which are used to store energy, absorb hydraulic shocks, or compensate for fluid loss.

The hydraulic accumulators in both hydraulic systems can provide a minimum of two brake applications in case of hydraulic failure. When both hydraulic systems fail, the pilots must use the accumulator's pressure to control the aircraft. The hydraulic system's accumulator is a type of reservoir that is filled with gas or liquid and is used to store energy in the hydraulic system. In addition to absorbing hydraulic shocks and compensating for fluid loss, it provides hydraulic pressure to actuate some system elements in the event of a hydraulic system failure. As a result, the hydraulic system's accumulator is an essential component of the hydraulic system that ensures proper aircraft operation. In conclusion, both hydraulic systems in the B777 aircraft have accumulators that provide hydraulic pressure for at least two brake applications in case of hydraulic failure.

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Find the magnitude of the two forces, such that if they act at right angles their resultant is √10N But if they act at 60°, their resultant is √13 N​

Answers

Note that  the magnitudes of the two forces are F1 = √6 N and F2 = 2 N.

What is the explanation for the above response?

Let F1 and F2 be the magnitudes of the two forces. If they act at right angles, their resultant R is given by:

R = √(F1^2 + F2^2)

If they act at 60 degrees, their resultant R' is given by:

R' = √(F1^2 + F2^2 + 2F1F2cos60°) = √(F1^2 + F2^2 + F1F2)

We can set up a system of equations to solve for F1 and F2:

√(F1^2 + F2^2) = √10 ...(1)

√(F1^2 + F2^2 + F1F2) = √13 ...(2)

Squaring both sides of equation (1), we get:

F1^2 + F2^2 = 10

Squaring both sides of equation (2), we get:

F1^2 + F2^2 + F1F2 = 13

Substituting F1^2 + F2^2 = 10 from equation (1), we get:

10 + F1F2 = 13

F1F2 = 3

Now, we can solve for F1 and F2 using the equations:

F1^2 + F2^2 = 10

F1F2 = 3

Multiplying the second equation by 4, we get:

4F1F2 = 12

Substituting F1F2 = 3, we get:

12 = 3(F1^2 + F2^2)

Simplifying, we get:

F1^2 + F2^2 = 4

Using this equation and F1F2 = 3, we can solve for F1 and F2:

F1^2 + F2^2 = 4

F1F2 = 3

Multiplying the first equation by F1F2, we get:

F1^2F2 + F1F2^2 = 12

Substituting F1F2 = 3, we get:

F1^2 + 3F2^2 = 12

Substituting F1^2 = 4 - F2^2 from the first equation, we get:

4 - F2^2 + 3F2^2 = 12

Simplifying, we get:

2F2^2 = 8

F2^2 = 4

F2 = 2

Substituting F2 = 2 in F1^2 + F2^2 = 10, we get:

F1^2 + 4 = 10

F1^2 = 6

F1 = √6

Therefore, the magnitudes of the two forces are F1 = √6 N and F2 = 2 N.

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Min is conducting an experiment where he compares the properties of water and lemonade. the first stage of the experiment is focusing only on the physical properties of the water and lemonade. which comparison point would min not use in the first stage?

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Answer:

In the first stage of the experiment where Min is focusing only on the physical properties of water and lemonade, he would not use any comparison point that relates to the taste or flavor of the two liquids. Taste and flavor are not physical properties and would require a different set of tests and observations to determine. Therefore, in the first stage of the experiment, Min would focus on physical properties such as color, density, boiling point, freezing point, viscosity, surface tension, and any other physical property that can be observed or measured without consuming the liquids or using taste buds.

which osi layer is responsible for directing data from one LAN to another?
a. Transport layer
b. Network layer
c. Data Link layer
d. Physical layer

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Answer:

B network layer

Explanation:

real life problems solved in statistics using software engineering

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Answer:

Explanation:

Using a machine learning algorithm, Aerosolve’s predictive model takes the optimal price for a rental based on its location

STEP BY SEP SOLUTION PLEASE

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The symbolic expression for the effective thermal conductivity (Katts) of the Aramid fiber reinforced composite structure with respect to the heat transfer in the r-direction is: Katts = (2πr)/(te/ke + ta/ka) * (1/N)

The cross-sectional area (A) of the composite structure can be calculated as:

A = πr².

How to derive the formula

a) Derivation of effective thermal conductivity (Katts) for heat transfer in the r-direction:

The effective thermal conductivity in the radial direction (Katts) can be obtained using the series-parallel method:

Thermal resistance of one layer:

The thermal resistance of each layer can be calculated as:

R = t/k

For epoxy layer: Re = te/ke

For Aramid layer: Ra = ta/ka

Equivalent thermal resistance of the composite structure:

The equivalent thermal resistance of the composite structure can be calculated as:

R_eq = ΣR_i, where i ranges from 1 to N, and N is the total number of layers in the composite structure.

Effective thermal conductivity (Katts):

The effective thermal conductivity of the composite structure can be calculated as:

Katts = 1/(R_eq * (2πr))

where r is the radius of the composite structure.

Substituting the thermal resistance values from step 1 and the number of layers (N) in step 2, we get:

R_eq = (te/ke + ta/ka) * N

Substituting the value of R_eq in the expression for Katts, we get:

Katts = (2πr)/(te/ke + ta/ka) * (1/N)

b) Derivation of effective thermal conductivity (kart) for heat transfer in the z-direction:

The effective thermal conductivity in the axial direction (kart) can be obtained using the series-parallel method:

Thermal resistance of one layer:

The thermal resistance of each layer can be calculated as:

R = t/k

For epoxy layer: Re = te/ke

For Aramid layer: Ra = ta/ka

Equivalent thermal resistance of the composite structure:

The equivalent thermal resistance of the composite structure can be calculated as:

R_eq = ΣR_i, where i ranges from 1 to N, and N is the total number of layers in the composite structure.

Effective thermal conductivity (kart):

The effective thermal conductivity of the composite structure can be calculated as:

kart = 1/(R_eq * A)

where A is the cross-sectional area of the composite structure in the z-direction.

Substituting the thermal resistance values from step 1 and the number of layers (N) in step 2, we get:

R_eq = (te/ke + ta/ka) * N

Substituting the value of R_eq in the expression for kart, we get:

kart = A/[(te/ke + ta/ka) * N]

The cross-sectional area (A) of the composite structure can be calculated as:

A = πr².

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