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Two wheels, A and B, are connected by a belt as in Fig. 11-29. The radius of B is three times the radius of A. What would be the ratio of the rotational inertias I A /I B , if (a) both wheels have the same angular momenta and (b) both wheels have the same rotational kinetic energy? Assume that the belt does not slip.

Two wheels, A and B, are connected by a belt as in Fig. 11-29. The radius of B is three times the radius of A. What would be the ratio of the rotational inertias IA/IB, if (a) both wheels have the same angular momenta and (b) both wheels have the same rotational kinetic energy? Assume that the belt does not slip.

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
8 years ago
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From the above observation we conclude that, if both wheels have the same rotational kinetic energy, then the ratio of rotational inertia would be \frac{1}{9}.

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