Question

A clutch plate initial consists of wheel A rotating about its body axis through the center...

A clutch plate initial consists of wheel A rotating about its body axis through the center of the wheel. Wheel B is initially at rest.

Wheel A and B are then brought together so that they may be considered a single composite wheel turning with the same angular velocity. This causes the rotation to slow. We wish to find the final angular velocity given the following conditions:

Mass of wheel A is 10 kg. Its radius is 3 meters. The mass of wheel B is 5 kg and its radius is 1.5 meters.

Mass A is initially rotating at 22 rad/sec.

Question 1:

What is the moment of Inertia of wheel A?

Question 2:

What is the moment of inertia of the composite wheel (wheel A and B) after they are brought together?

Question 3:

What is the angular velocity of the composite wheel (Wf) after the wheels are brought together?

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