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A disk rolls up an inclined plane, reaches point A, stops there momentarily, and

ID: 1460448 • Letter: A

Question

A disk rolls up an inclined plane, reaches point A, stops there momentarily, and then rolls down the inclined plane. Use the x-y coordinate system to determine the direction of the angular velocity and the angular acceleration in each part of the motion as given below. If either one is zero, say so. (a) when the disk is going up the incline. (i) angular velocity? (ii) angular acceleration? (b) at point at the top of the incline (point A) when the disk stops momentarily. (i) angular velocity? (ii) angular acceleration? (c) when the disk is rolling down the incline. (i) angular velocity? (ii) angular acceleration? (*Options: +x, -x, +y, -y, +z, -z, and 0)

Explanation / Answer

Part A

When disc is rolling upward angular acceleration is in +z direction and angular velocity has direction -z

Part B

at the top of incline as the velocity become zero so Angular velocity is zero and angular acceleration(due to torque of gravity) in +z direction

Part C

When disc is rolling down angular acceleration + z direction and angular velocity is also in + zdirection

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