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A disk-shaped (radius = 0.20 m) is mounted on a frictionless, horizontal axis. A light cord...

A disk-shaped (radius = 0.20 m) is mounted on a frictionless, horizontal axis. A light cord wrapped around the wheel supports a 0.50-kg object. When released from rest the object falls with a downward acceleration of 5.0 m/s^2. What is the mass of the pulley?

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Answer #1

Equations of motion of the mass gives:

Let T be the tension in the cord.

Now torque about the disk shaped pulley:

where is the angular acceleration

Moment of inertia of disk =

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