For a short time the bucket of the backhoe traces the path of the cardioid r=25(1−cosθ)ft. The boom is rotating with an angular velocity of θ˙omega = 2.3 rad/s and an angular acceleration of θ¨alpha = 0.16 rad/s^2 at the instant shown 1)Determine the magnitude of the velocity of the bucket when θ = 120∘ 2)Determine the magnitude of the acceleration of the bucket when θ = 120

Q: The wheel in the figure rotates clockwise with a constant angular velocity of 120 rpm. The pin D is…

A: Solution   Convert the angular velocity of wheel from rev/min to rad/s.ω=2πN60φ=2π×12060  =4π rad/s

Q: At the instant shown, the bar AB has a velocity of 4.8 rad/s clockwise. If a = 0.22 m, b = 0.33 m,0…

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Q: The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w₂ = 6…

A: To Find : The component x,y and z of velocity at point B The component x,y and z of acceleration at…

Q: Consider the thin plate in the form of an equilateral triangle. At the instant shown, point A has an…

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Q: The ladder of the fire truck rotates around the z axis with an angular velocity of w₁ = 0.12 rad/s,…

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Q: The z-y coordinate system is body fixed with respect to the bar. The angle 0 (in radians) is given…

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Q: В 0.4 m 0.4 m 90 45° 45° D

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Q: At the instant shown, the arm OA of the conveyor belt is rotating about thez axis with a constant…

A: Conveyor belt velocity, r˙=5 ft/sConveyer belt acceleration, r¨=8 ft/sAngular velocity, ω1=6.1…

Q: 4) The T-shpaed body rotates about a horizontal axis through point O. At the instant shown, its…

A: The angular velocity is The angular acceleration is

Q: 2 and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to…

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Q: The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls…

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Q: 1. The center O of the disk has the velocity and acceleration as shown in the figure. If the disk…

A: The relative velocity and relative acceleration approach is used to answer the given question.

Q: At the instant θ = 60∘, link CD has an angular velocity ωCD = 4 rad/s and an angular acceleration…

A: Given: Angular velocity of CD: →ωCD=4 rad/s Angular acceleration of CD: →αCD=3 rad/s2 And the…

Q: At a given instance, the fan shown below has an angular motion w₁ = 0.6 rad/s about the z-axis,…

A: Find the magnitude of blade's angular acceleration.

Q: The collar A is pinned on the 4-inch bar AO2 and slides on the pivoted arm BO₁. When the angle shown…

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Q: At the instant shown, the shaft and plate rotates with an angular velocity of 14 rad/s and angular…

A: Given data: ω=14 rad/sα=7 rad/s Need to determine the velocity and acceleration of point D.

Q: The length of the crank is 2 inches and the length of the connecting link is 4 inches. The distance…

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Q: At the instant shown, the arm OA of the conveyor belt is rotating about the axis with a constant…

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Q: The slider block moves with a velocity of vB=5ft/s and an acceleration of aB=3ft/s^2. (Figure 1)…

A: Given:The velocity of slider is .The acceleration of the slider is .Free body diagram:

Q: 4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1…

A: Find the magnitude of acceleration of the bucket.

Q: The ladder of a fire truck rotates about the z-axis with an angular velocity of w;=0.18 rad/s, which…

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Q: Bar AB is pinned to the fixed support at A, and the collar B is pinned to the bar at its opposite…

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Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: conveyor belt velocity conveyor belt acceleration. angular velocity is angular velocity is the…

Q: At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular…

A: The angular velocity is .The angular acceleration is .

Q: The device shown rotates about the fixed z-axis with angular velocity w = 22 rad/s and angular…

A: To determine:Velocity and acceleration of point BGiven:angular velocity is angular acceleration is…

Q: determine the angular velocity when θ = 1.2 radians.

A: To determine the value of spring constant 'k' and angular velocity  when giventhe distance

Q: End A of the 3.6-ft link has a velocity of 3.7 ft sec in the direction shown. At the same instant,…

A: Given data:- To find:-the angular velocity of the link in two ways

Q: The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls…

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Q: A of the conveyor belt is rotating about the z axis with a -6 rad/s, while at the same instant the…

A: conveyor belt velocity angular velocity is angular velocity is the distance of the package from the…

Q: The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls…

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Q: The crank link AB of the crank and slider mechanism has an angular velocity of WAB = 6 rad/s and an…

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Q: In the system  on the picture the bigger wheel is not moving, the smaller wheel is connected to the…

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Q: Pulley C has an inner hub which is fixed to its outer one and turns with it. At the instant wĄ = 7.5…

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Q: The piston of the hydraulic cylinder gives pin A a constant velocity v = 2.4 ft/sec in the direction…

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.