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MHT CET Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET

A rope is wound around a solid cylinder of mass 1 kg and radius 0.4 m. What is the angular acceleration of cylinder, if the rope is pulled with a force of 25 N? (Cylinder is rotating about its own axis.) [MHTCET 2020]

Answer: (A)

Solution

Torque = FR = 25 × 0.4 = 10 N m, I = (1/2)(1)(0.4)² = 0.08 kg m², so α = 10/0.08 = 125

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Question ID VK-040779