Answered: R m2 h h Figure 10.22 (Example 10.12)…

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R m2 h h Figure 10.22 (Example 10.12) An Atwood machine with a massive pulley.

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Question

Two blocks having different masses m₁ and m₂ are connected by a string passing over a pulley as shown. The pulley has a radius R and moment of inertia I about its axis of rotation. The string does not slip on the pulley, and the system is released from rest. Find the translational speeds of the blocks after block 2 descends through a distance h and find the angular speed of the pulley at this time.