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4) Three identical masses are released from rest in the configuration shown. Not

ID: 1790935 • Letter: 4

Question

4) Three identical masses are released from rest in the configuration shown. Note that the pulley in 4) . the middle rides freely on the rope, which is massless. Also assume the the pulleys are massless and frictionless. The two end masses are initially 10.0m off the floor, and the middle mass is initially 5.00 m off the floor. Find the highest position reached by the middle mass. 10.00 m 10.00 m 5.00 m Figure 4 - Three identical masses are connected together with three massless, frictionless pulleys and a massless rope, as shown. The middle pulley rides freely on the rope. The end masses are initially 10.0 m off the floor, and the middle mass is initially 5.00 m off the floor. The system is released from rest.

Explanation / Answer

for the middle mass

2mg - mg = ma

hence a = g

as the two masses travels 10 m in down direction , the middle mass travels same distance in up direction

hence final height of the middle mass = 5 + 10 = 15 m

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