Magnetic tape is being fed over and around the light pulleys mounted in a computer. If the speed v of the tape is constant and if the magnitude of the acceleration of point A on the tape is 4/3 times that of point B, calculate the radius r of the smaller pulley.

Q: The rotating arm starts from rest and acquires a rotational speed N = 200 rpm in 2 seconds with…

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Q: The given system consists of A, B and C gears. Since gear A rotates clockwise at a constant speed of…

A: The ratio of teeth on the gear to the teeth on the pinion is termed as gear ratio. It is also…

Q: At the shown instant, a hydraulic cylinder OD extends vertically with acceleration of ap = 2.8 m/…

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Q: Consider the portion of an excavator shown. At the instant under consideration, the hydraulic…

A: Angular velocity is the rate at which an item rotates or revolves around an axis in simple terms.…

Q: stant, point P,, on the tape is in contact with pulley C and point P2 is in contact with pulley D.…

A: To given thatNormal component of acceleration(aN) for P1=40m/s2Tangential component of…

Q: Thex- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the…

A: x=25+0.74t^2 Differentiating both sides we get, Vx=1.48t at t=1.7sec Vx=2.516mm/s

Q: ag, a4, AB/A VB = 8.5 m/s VA =7 m/s B 50 m 50 m 40°

A: Given Data:-

Q: 4. Car A is accelerating in the direction of its motion at the rate of 4 ft/sec2. Car B is rounding…

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Q: In the system presented, the tractor A is used to hoist bale B with the pulley mechanism. If A has a…

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Q: In reference to the figure, @ 1 ft Given: v = 8 ft/s w = 2 rad/s Determine the velocity in ft/s of…

A: Write the given data. v=8 ft/sω=2 rad/sr=1 ft

Q: The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the…

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Q: Find the velocity of the bob at point 2 in terms of L and δ when it was released from rest as shown…

A: The free-body diagram of the bob is given below,

Q: As the hydraulic cylinder rotates around O, the exposed length l of the piston rod is controlled by…

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Q: The wheel of radius R rolls without slipping, and its center O has an acceleration aO. A point P on…

A: Unit vectors i,j,k are attached to the wheel. The ki- plane is horizontal. j with the downward…

Q: The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the…

A: Given data X = 20+ 0.25t2 , t=2s y = 15 – 1/6t3 Need to determine magnitude of velocity and…

Q: Dynamics In the system presented, the tractor ? is used to hoist bale B with the pulley mechanism.…

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Q: A force F applied to an object of mass mi produces an acceleration of 3.00 m/s2. The same force…

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Q: When the speed reached 120 km/h, the car entered a curved road of radius 150 m. The brakes are…

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Q: tension of the rope T and the acceleration a, if: b) µs = 0.15 and µk = 0.21 Answer:  208 N

A: given   µ =0.15,  m1= 60 kg m2= 20kg

Q: A 2 Mg car has its mass with center at G. Calculate the acceleration of the car if p_k between the…

A: The force of friction constantly opposes the force you exert when you try to move an object,…

Q: The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the…

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Q: The robot arm is elevating and extending simultaneously. At a given instant, 0 = 20°, Ô = 24 deg/s =…

A: Given θ=20θ.=24 deg/sl = 0.56 ml.=0.2m/sl..=0.05m/s2 To find Velocity Acceleration

Q: The car has a forward acceleration of a = 4.7 m/s2 without slipping its 630-millimeter diameter…

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Q: The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the…

A: Data given-  x = 20 + 0.25 t2  y= 15 - 1/6 t3     At t = 0 cordinates ( x,y) becomes (20,15 ) At t =…

Q: The flexible belt runs around two pulleys of different radii. At the instant shown. point C on the…

A: Acceleration (a) is the velocity shift (Δv) over a time shift (Δt), expressed by the equation a=a =…

Q: If end A of the constrained link has a constant downward velocity of 2 m/s when 0= 30° degrees find…

A: Acceleration of end B By definition, α = Δω Δt α = Δ ω Δ t. Thus, These equations mean that linear…

Q: The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The…

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Q: 2- As the hydraulic cylinder rotates about 0, the exposed length I of the piston rod P is controlled…

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Q: The x- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the…

A: Given That y = 16 -0.57t3 We need to find. Velocity Vy at t = 2.5 sec.

Q: the Velocity of car A as observed by an occupant in car B. Illustrate the solution with a schematic…

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Q: The disk shown rolls without slipping. Its center O has a speed of 3 m/s and is decelerating at 5…

A: we know that v=rωω=vr =30.4 =7.5rad/s

Q: The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the…

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Q: Q2: The speed of a car increases uniformly with time from (70 km/h) at A to (120 km/h) at B during…

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Q: The x- and y-motions of guides A and Bwith right-angle slots control the curvilinear motion of the…

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Q: As the hydraulic cylinder rotates around O, the exposed length l of the piston rod is controlled by…

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Q: The x-and y-motions of guides A and B with right-angle slots control the curvilinear motion of the…

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Q: The rod of length L pivots on a block that slides along a horizontal shaft as shown in the diagram…

A: Given: The length of the rod is L. The rotational motion is not given, so θ ̇ = 0 The relative…

Q: block B moves downward of the inclined with the given acceleration vector as shown. Compute for the…

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Q: Thex- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the…

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Q: As the hydraulic cylinder rotates around O, the ex- posed length l of the piston rod P is controlled…

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Q: The x- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the…

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Q: Consider the portion of an excavator shown. At the instant under consideration, the hydraulic…

A: Given Velocity = 7 in/s Acceleration = 3 in/s2 Change in angle = 14 deg/sec = 14×π180=0.244 rad/s To…

Q: 2. Now consider the pulley problem shown below. In this problem, both blocks have mass m m m (a) At…

A: Calculated velocity and acceleration of the block on the right side.

Q: Cylinder A is moving downward with a velocity of 8 m/s when the brake is suddenly applied to the…

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Q: The speed of a car increases uniformly with time from 63 km/h at A to 103 km/h at B during 8…

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Q: The two 0.2kg sliders A and B move without friction around the horizontal circular slot. The sliders…

A: Given dataP=4Nm=0.2kgθ=45°

Q: Thex-and y-motions of guides A and B with right-angle slots control the curvilinear motion of the…

A: given; x=18+0.67t2y=18-0.61t3x and y in mm.velocity at t=3s

Q: Find the angular velocity and angular acceleration of the wheel according to the values ​​given in…

A: Theory of Machines is the branch where kinetics and kinematics of the mechanism are studied.…

Q: The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the…

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Q: The bar CD of the system shown has a constant angular acceleration of 20 rad/ss clockwise. At the…

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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.