Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousMedium2 minQB
PhysicsMediumsingle choice
Passage / Comprehension

A block of mass M slides on a smooth incline. The compound pulley has moment of inertia . A brakeshoe can press against the pulley. The normal force on the brakeshoe is 2Mg and the coefficient of friction is . Initially the block is at rest and the pulley rotates on a frictionless pivot.

 

full compound pulley diagram with block M, complete 37 degree incline, brakeshoe and 2Mg force

Initially at , the brakeshoe is not in contact with the pulley. Find the acceleration of the block down the incline.

Options:

Answer:
C
Solution:

The string acts at radius R while the compound pulley has I=2MR².

Mg sin37°-T=Ma and TR=I(a/R).

Thus 0.6Mg=3Ma, giving a=0.2g=2 m/s².

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 2mℹ️ Source: QB

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