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Practicing Success
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Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation : |
WC > WB > WA WA > WB > WC WA > WC > WB WB > WA > WC
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WC > WB > WA |
Work : W = change in KE W = \(\frac{1}{2}I\omega^2\) Thus, angular frequency remaining constant, work done will depend only on moment of inertia. WA : WB : WC = \(\frac{2}{5}MR^2 : \frac{1}{2}MR^2 : MR^2 \) Thus, WC > WB > WA |
