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A 50 g weight is attached to a 200 g cart and placed over a 15 g pulley. Initially the whole system is a rest.

A 50 g weight is attached to a 200 g cart and placed over a 15 g pulley. Initially the whole system is a rest. The radius of the pulley is 5 cm, and it experiences an angular acceleration of 0.5 rad/s2 for 3 seconds before the weight hits the ground. Please solve for everything using circular motion

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