Rotational Motion Dynamics

A uniform rod   of length and mass is free to rotate about point  . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about   is the initial angular acceleration of the rod will be: 

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A rope is wrapped around a hollow cylinder with a mass of and a radius of What is the angular acceleration of the cylinder if the rope is pulled with a force of

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A disc of radius and mass rolls on a horizontal floor. Its centre of mass has a speed of . How much work is needed to stop it?

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