This pulley has two rims of differing radii, connected at their common center. T

Question

This pulley has two rims of differing radii, connected at their common center. The pulley is free to rotate around the fixed axis shown and is rotating in the clockwise direction. Describe in words what will happen in the time after the moment depicted here. Explain/show your reasoning with words and/or equations. If the tension in the right string remains as shown in the drawing, what tension should the left string exert so that the angular velocity of the pulley would no longer change? Explain/show your reasoning with words and/or equations. If the tension in the left string remains as shown in the drawing, what minimum tension should the right string exert so that the pulley would go faster in the clock-wise direction? Explain/show your reasoning with words and/or equations.

Explanation / Answer

a)As it is a example of rigid body so angular velocity remains constant with respect to time.So V1/r=V2/2r V2=2V1 i.e.1.5T will move slower then T by 1/2 b)Let tension be T ' now for zero angular acceleration Torque=0 1.5*T*r=2r*T ' T ' =3/4*T ans c)Again T*2r=1.5*T ' '*r T ' '=4/3 T This is because the system has to follow newtons second law of motion i.e force of inertia..

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