Physics - Rotation Question with Solution | TestHub
PhysicsRotationMiscellaneousMedium2 minQB
PhysicsMediumsingle choice
A wire frame AOPQB lies in a horizontal plane and rotates about a vertical axis through C. Mass M is uniform over the frame. Given OA=QB=r and CP=r, find the moment of inertia about the axis through C.
Options:
Answer:
A
Solution:
The frame length is (π+2)r, so its linear density is M/[(π+2)r].
The semicircle contributes λπr³.
The two straight parts contribute 2λ∫ᵣ²ʳ y²dy=14λr³/3.
Thus I=Mr²(14+3π)/(6+3π).
Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 2mℹ️ Source: QB
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