Torque of equal magnitude is applied to a solid cylinder and a solid sphere, both having the same mass and radius. Both of them are free to rotate about their axis of symmetry. If α 1 and α 2 are the

Question

Torque of equal magnitude is applied to a solid cylinder and a solid sphere, both having the same mass and radius. Both of them are free to rotate about their axis of symmetry. If $α_{1}$ and $α_{2}$ are the angular accelerations of the cylinder and the sphere respectively, then the ratio $\frac{α_{1}}{α_{2}}$ will be

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Answer:

C

Solution:

$α_{1} = \frac{M R^{2}}{2}$ and $α_{2} = \frac{2}{5} M R^{2}$
$∴ \frac{α_{1}}{α_{2}} = \frac{4}{5}$

TestHub · Accepted Answer

α 1 = M R 2 2 and α 2 = 2 5 M R 2 ∴ α 1 α 2 = 4 5

Physics - Rotation Question with Solution | TestHub

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