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The figure below shows two blocks suspended by a single cord over a pulley. (Figure 1) The mass of block B is twice the mass of block A, while the mass of the pulley is equal to the mass of block A. The blocks are let free to move and the cord moves on the pulley without slipping or stretching. There is no friction in the pulley axle, and the cord's weight can be ignored.Figure1 of 1Part AWhich of the following statements correctly describes the system shown in the figure?Check all that apply.View Available Hint(s)for Part AThe acceleration of the blocks is zero.The net torque on the pulley is zero.The angular acceleration of the pulley is nonzero.

Question

The figure below shows two blocks suspended by a single cord over a pulley. (Figure 1) The mass of block B is twice the mass of block A, while the mass of the pulley is equal to the mass of block A. The blocks are let free to move and the cord moves on the pulley without slipping or stretching. There is no friction in the pulley axle, and the cord's weight can be ignored.Figure1 of 1Part AWhich of the following statements correctly describes the system shown in the figure?Check all that apply.View Available Hint(s)for Part AThe acceleration of the blocks is zero.The net torque on the pulley is zero.The angular acceleration of the pulley is nonzero.

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Solution

The correct statements describing the system shown in the figure are:

  1. The net torque on the pulley is zero.
  2. The angular acceleration of the pulley is nonzero.

Explanation:

  1. The net torque on the pulley is zero because the tension on both sides of the pulley is equal. The tension on one side is due to block A and on the other side is due to block B. Since block B is twice the mass of block A, it will exert twice the force, but it will be in the opposite direction, hence the net torque will be zero.

  2. The angular acceleration of the pulley is nonzero because the blocks are let free to move. When the blocks move, they cause the pulley to rotate. Since there is a change in the rotational motion of the pulley, it means there is an angular acceleration.

The acceleration of the blocks is not zero. Since block B is heavier than block A, when the blocks are let free to move, block B will accelerate downwards and block A will accelerate upwards.

This problem has been solved

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