Physics - Rotation Question with Solution | TestHub
PhysicsRotationMiscellaneousMedium3 minQB
PhysicsMediumsingle choice
A uniform rod AB is bent in the shape of an arc of circle and hinged at point C. Determine the angular acceleration of the rod immediately after it is released from rest in a vertical plane.
Options:
Answer:
D
Solution:
The arc subtends angle 2θ and has centre of mass at distance R sinθ/θ from the circle centre.
Its horizontal lever arm about C is R sinθ/θ.
The arc moment of inertia about C is 2mR².
Therefore α=mg(R sinθ/θ)/(2mR²)=g sinθ/(2Rθ).
Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 3mℹ️ Source: QB
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