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Sahay Sir > Question Answers > Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions) > A hemisphere of radius R and mass 4 m is free to slide with its base on a smooth horizontal table . A particle of mass m is placed on the top of the hemisphere . The angular velocity of the particle relative to centre of hemisphere at an angular displacement θ when velocity of hemisphere has become v is

A hemisphere of radius R and mass 4 m is free to slide with its base on a smooth horizontal table . A particle of mass m is placed on the top of the hemisphere . The angular velocity of the particle relative to centre of hemisphere at an angular displacement θ when velocity of hemisphere has become v is

In figure a man stands on a boat floating in still water. The mass of the man and the boat is 60 kg and 120 kg respectively. a. If the man walks to the front of the boat and stops. what is the separation between the boat and the pier now? b. If the man moves at a constant speed of 3m/s relative to the boat what is the total kinetic energy of the system (boat + man)? Compare this energy with the kinetic energy of the system if the boat was tied to the pier.