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A constant force F is applied at the top...

A constant force F is applied at the top of a ring as shown in figure. Mass of the ring is M and radius is R. Angular momentum of particle about point of contact at time t

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A solid shere of mass m and radius R is kept over a rough ground. A time varying force F=2t is acting at the topmost point as shown in figure. (a). Find angular momentum of the sphere about the bottommost point as a function of time t (b). Does this result depend on the fact whether the ground is rough or smooth?

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