Calculating Work Done by Block on Pulley

AI Thread Summary
The discussion centers on calculating the work done by a block on a pulley system, where the pulley is a uniform disk with a mass of 2.40 kg and a radius of 0.220 m. The block exerts a constant torque, causing the pulley to rotate with an angular acceleration of 0.180 rad/s². As the block descends 0.500 m, the work done on the pulley can be determined using the relationship between torque, angular acceleration, and the distance moved. The lack of friction allows for a straightforward calculation of work. Ultimately, the problem emphasizes the principles of rotational dynamics and energy transfer in pulley systems.
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The pulley in the illustration is a uniform disk of mass 2.40 kg and radius 0.220 m. The block applies a contant torque to the pulley, which is free to rotate without friction, resulting in an angular acceleration of magnitude 0.180 rad/s2 for the pulley. As the block falls 0.500 m, how much work does it do on the pulley?
 
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what illustration :S
 
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