Rotational Dynamics About a Fixed Axis: the Rotating Systems Shown

question 6

Multiple Choice

Rotational dynamics about a fixed axis: The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance r from the axis of rotation (left) , or a distance r/2 from the axis of rotation (right) . You release the hanging blocks simultaneously from rest, and call t_L the time taken by the block on the left and t_R the time taken by the block on the right to reach the bottom, respectively. The bar, pulley, and rope have negligible mass, the rope does not slip, and there is no friction in the axle of the pulley. Under these conditions

• A) tL = tR.
• B) t_L = t_R.
• C) tL = tR.
• D) t_L = 2t_R.
• E) t_l = 4t_R.

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