Question

Consider the following situation as pictured in the figure. A block slides on a friction-less table...

Consider the following situation as pictured in the figure. A block slides on a friction-less table dragged by a rope that goes over a pulley and from which a weight is hanged. The pulley can be considered a disk. Its mass is 5 Kg, and its radius is 1 m. The block has a mass of 2 Kg and the hanging weight has a mass of 1 Kg. m1=2Kg m2=1Kg A. First write the free body diagram for each mass and the pulley. B. Where is the torque of the weight applied on the pulley? (mark it in the drawing) C. What is the torque of the block applied on the pulley? (mark it in the drawing) D. Write the corresponding equations (Newton’s second law for each mass and NSL of rotation for the pulley). Answer: E. Find a general expression that depends only on M (the mass of the pulley) m1 (mass of the block), m2 (mass of the hanging weight). Check that the expression makes sense for particular cases (M, m1, m2, being zero separately).

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