You\'re sitting in a chair that can rotate freely about a vertical axis. The mom

Question

You're sitting in a chair that can rotate freely about a vertical axis. The moment of inertia of you and the chair (together as one object) about that axis is Ic. Initially, you and the chair are at rest. But you're holding a spinning disk whose axis of rotation aligns with the axis of the chair. The disk's moment of inertia about its axis is ID. The disk's initial angular velocity is omega D. You then use your free hand to stop the disk from spinning axis. As a result, you, the chair and the disk all rotate together with angular velocity omega f. If omega D/omega f = 10.0, what is IC/ID ?

Explanation / Answer

angualr momentum willl be conserved so 0 = Id Wd + Ic Wc Id/Ic = -Wc/Wd = -1/x

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