A light rope passes over a light frictionless pulley attached to the ceiling. An

Question

A light rope passes over a light frictionless pulley attached to the ceiling. An object with a large mass is tied to one end and an object with a smaller mass is tied to the other end. Starting from rest the heavier object moves downward and the lighter object moves upward with the same magnitude acceleration. Which of the following statements is true for the system consisting of the two masses?and why? explain each one. The center of mass remains at rest. The net external force is zero. The velocity of the center of mass is a constant. The acceleration of the center of mass is g, downward. None of the above statements are true.

Explanation / Answer

As the pulley is frictionless, so same tension will act upon the entire rope. Now if you consider the rope hanging down the pulley on one side as a system, 23.0 N is acting downwards and tension (T) acting upwards. As the rope will be stationary (same weight on the other side), therefore tension in the rope will be 23.0 N Taking the entire rope + pulley as a system tension in the chain= 23.0 + 23.0 + weight of pulley as pulley is light Therefore, tension in chain= 46.0 N

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