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

Question

4) Three identical masses are released from rest in the configuration shown. Note that the pulley in 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 10.0 m off the floorand the middle mass is initially 5.00 m off the floor. Find the highest position reached by the middle mass. M N M 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

As middle mass is attached to two strings ,we can say that distance moved by middle one will be half of the distance moved by side masses as they are connected to one string only

So maximu height attained is equal to 10 m as it can go 5 more meter up when side mass comes 10 m down

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