Physics - Rotation Question with Solution | TestHub
PhysicsRotationMiscellaneousMedium2 minQB
PhysicsMediumsingle choice
A uniform disc of radius R lies in the x-y plane, with its centre at the origin. Its moment of inertia about the z-axis equals its moment of inertia about the line . Find c.
Options:
Answer:
B
Solution:
For a disc, moment of inertia about any diameter through the centre is MR²/4.
The line y=x+c is parallel to a diameter and its perpendicular distance from the centre is |c|/√2.
By the parallel-axis theorem: MR²/4+M(c²/2)=MR²/2.
Hence c²=R²/2, so c=±R/√2.
Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 2mℹ️ Source: QB
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