Question

Two objects are connected to a cord, and the cord is hung over a pulley connected to the ceiling, as shown in the figure below mg The masses of the objects are m 17.0 kg and m2 12.0 kg, the mass of the pulley is M 5.00 kg, and the radius of the pulley is R 0.300 m. Object m2 is initially on the floor, and object m, is initially 5.00 m above the floor when it is released from rest. The pulleys axis has negligible friction. The mass of the cord is small enough to be ignored, and the cord does not slip on the pulley, nor does it stretch. (a) How much time (in s) does it take object m, to hit the floor after being released? Atl = 15.928 Apply Newtons second law to each object. Consider the forces on each object and be careful of directions and signs of forces and acceleration. Then relate the net torque on the pulley to its angular acceleration. What is the moment of inertia of the pulley? How does the angular acceleration relate to the linear acceleration of the objects? s (b) How would your answer to part (a) change if the mass of the pulley were neglected? (Enter the time, in seconds, it takes object m to hit the floor if the mass of the pulley were neglected.) At. 2

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Answer #1

So answers are

A) 2.534sec

B) 2.431sec

m, יו Sm p. m,-m lous. → t 2.ul 3, sec .671please rate

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