A plank with a uniform sphere placed on it rests on a smooth horizontal plane. The plank is pulled to right by a constant force F. If the sphere does not slip over the plank, then.
A plank with a uniform sphere placed on it rests on a smooth horizontal plane. The plank is pulled to right by a constant force F. If the sphere does not slip over the plank, then.
The correct options are
B Acceleration of centre of sphere is less than that of the plank
C Work done by friction acting on the sphere is equal to its total kinetic energy
D Total kinetic energy of the system is equal to work done by the force F
If angular acceleration of the sphere is then its centre of mass has a backward acceleration r, relativeto the plank. Hence, its net acceleration becomes less than that of the plank. Hence option (B) is correct.Obviously, option (A) wrong. Since, there is no sliding between the surfaces of the sphere and the plank, therefore, no energy is lost against friction. Since, friction, acting on the sphere, is the only forcewhich provides motion to it, therefore, KE of the sphere at any instant is equal to work done by thefriction acting on it. Hence, option (C) is correct. Since, no energy is lost against friction, therefore, KE of the whole system is equal to work done by the force F. Hence option (D) is also correct.
B Acceleration of centre of sphere is less than that of the plank
C Work done by friction acting on the sphere is equal to its total kinetic energy
D Total kinetic energy of the system is equal to work done by the force F
If angular acceleration of the sphere is then its centre of mass has a backward acceleration r, relativeto the plank. Hence, its net acceleration becomes less than that of the plank. Hence option (B) is correct.Obviously, option (A) wrong. Since, there is no sliding between the surfaces of the sphere and the plank, therefore, no energy is lost against friction. Since, friction, acting on the sphere, is the only forcewhich provides motion to it, therefore, KE of the sphere at any instant is equal to work done by thefriction acting on it. Hence, option (C) is correct. Since, no energy is lost against friction, therefore, KE of the whole system is equal to work done by the force F. Hence option (D) is also correct.
