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Two cylinders are placed at the top of an inclined plane of length L and simultaneously released from rest. Cylinder A has a mass of

Two cylinders are placed at the top of an inclined plane of length L and simultaneously released from rest. Cylinder A has a mass of 22kg and a radius of 5km. Cylinder B has a mass of 17kg and a radius of 2.5km. Assume that the coefficient of friction between the cylinders and the incline is zero and that both the cylinders roll down the incline without slipping. Derive expressions for the following quantities in terms of L, , m, and R: (a) the total kinetic energy of each sphere at the bottom of the incline; (b) the translational speed of each sphere at the bottom of the incline; (c) the translational kinetic energy of each sphere at the bottom of the incline; (d) the rotational kinetic energy of each sphere at the bottom of the incline

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