Question

An Atwood machine is constructed of a solid-disk frictionless pulley of mass m3 and radius R. On the left side is hung a mass m1, and on the right the string is wound around a hollow cylinder of mass m2 and radius r (like a yoyo.)

1) For what mass ratio m2/m1 will mass m1 remain stationary, and what will the acceleration of mass m2 be?

2) Suppose m2 = 2*m1. For what mass m3 will the masses m1 and m2 have the same downward acceleration, and what will that acceleration be?

Answer 1

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