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A very light string is wound around a cylindrical spool of inertia M and radius R....

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Physics

A very light string is wound around a cylindrical spool ofinertia M and radius R. The cylinder rotates on a frictionlesshorizontal axis with a moment of inertia 1 2MR2 . Attached to theend of the string is a block of inertia m, which pulls on thestring and unwinds it from the cylinder, as the block falls.

(a)Draw an extended free-body diagram for the cylinder, and aregular free-body diagram for the block.

(b)Let m = 5 kg, M = 2 kg, and R = 6 cm. What is theacceleration of the block as it falls?

(c)What is the tension on the string

(d) After the block has dropped 30 cm, starting from rest, whatis the total kinetic energy of the system, and how is itdistributed between the block and the cylinder?

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