Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousMedium2 minQB

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Passage / Comprehension

A block of mass M slides on a smooth incline. The compound pulley has moment of inertia $I = 2 M R^{2}$ . A brakeshoe can press against the pulley. The normal force on the brakeshoe is 2Mg and the coefficient of friction is $μ = 0.5$ . 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

At $t = 7 s$ , the brakeshoe is applied to the compound pulley. Find the magnitude of the block acceleration thereafter.

Options:

Answer:

Solution:

The brakeshoe friction is μN=0.5×2Mg=Mg and acts at radius 2R.

The braking torque reverses the acceleration.

Combining translation and rotation gives acceleration magnitude 7g/15.

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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