## Problem 10.10: Two identical masses are hung over two different pulleys

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Two identical black masses, m, are hung via massless strings over two pulleys of identical mass M and radius R, but different mass distributions as shown in the animation **(position is given in centimeters and time is given in seconds)**. The bearings in the pulleys are frictionless, and the strings do not slip as they unwind from their pulleys. Restart.

- Which mass has the greater acceleration?
- Which pulley has the greater moment of inertia?
- Which pulley has the greater tension acting on it?
- Which pulley has the greater torque acting on it?

Answer the following in terms of a general formula for either pulley using the following variables:

a (the acceleration of the black mass), g, m, M, and R.

- What is the tension in the string?
- What is the torque acting on the pulley?
- What is the moment of inertia of the pulley? Remember that we do not know the pulley's mass distribution.

Problem authored by Aaron Titus and Mario Belloni.