One of the blocks in the Atwood\'s machine illustrated on the right has a mass o

Question

One of the blocks in the Atwood's machine illustrated on the right has a mass of 500g, and the other a mass of 460g. The pulley, which is mounted in horizontal frictionless bearings, has a radius of 5cm. When released from rest, the heavier block is observed to fall 75 cm in 5s without the cord slipping on the pulley. What is the acceleration of each block? What is the tension in each horizontal part of the string? What is the angular acceleration of the pulley? What is the pulley's moment of inertia? Express to 4 digits after the decimal dot.

Explanation / Answer

a) angular acceleration = 2*.75/5^2*.05 =1.2 rad/s2 b) moment of inertia = (.04g - .96a)/a = 5.57 kg.m2

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