Qstnid -14- A Rope Of Negligible Mass Is Wound Round A Hollow Cylinder Of Mass 3 Kg And Radius 40 Cm. What Is The Angular Acceleration Of The Cylinder If The Rope Is Pulled With A Force Of 30 N? What Is The Linear Acceleration Of The Rope? Assume That There Is No Slipping. - 07: System Of Particles And Rotational Motion - Neet-xi-physics

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NEET-XI-Physics

07: System of particles and Rotational Motion

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#14
A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope? Assume that there is no slipping.
Ans : Here, M = 3 kg, R = 40 cm = 0.4 m

Moment of inertia of the hollow cylinder about its axis.

I = MR² = 3(0.4)² = 0.48 kg m²