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Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$ . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$ , then the value of $r$ is equal to

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Answer:

Solution:

$\frac{2}{5} M R^{2} = \frac{1}{2} M r^{2} + M r^{2}$

or $\frac{2}{5} M R^{2} = \frac{3}{2} M r^{2}$

$∴$ $r = \frac{2}{\sqrt{15}} R$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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