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(a) In a room of height 6 m, a ball is projected from a point P. (b) A particle is projected up an inclined plane with initial speed 80 m/s
(2010)
(a) Two particles of masses 0.24 kg and 0.25 kg are connected by a light inextensible string passing over a small, smooth, fixed pulley. (b) A smooth wedge of mass 4m and slope 45 degrees rests on a smooth horizontal surface.
(a) A sphere, of mass m and speed u, impinges directly on a stationary sphere of mass 3m. (b) A smooth sphere, of mass m, moving with velocity 6i+2j collides with a smooth sphere, of mass km, moving with velocity 2i+4j on a smooth horizontal table.
(a) A particle of mass m kg lies on the top of a smooth sphere of radius 2 m. The sphere is fixed on a horizontal table at P. (b) A particle moves with simple harmonic motion of amplitude 0.75 m. The period of the motion is 4 s.
(a) One end of a uniform ladder, of weight W, rests against a smooth vertical wall, and the other end rests on rough horizontal ground. (b) Two uniform smooth spheres each of weight W and radius 0.5 m, rest inside a hollow cylinder of diameter 1.6 m.
