A particle `P` is initially at rest on the top `p` of a smooth hemispherical surface which is fixed on a horizontal plane. The particle is given a velocity `u` horizontally. Radius of spherical surface is `a`.
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A particle P is initially at rest on the top pf a smooth hemispherical surface which is fixed on a horizontal plane. The particle is given a velocity u horizontally. Radius of spherical surface is a . .

A particle of mass m is released from the top of a smooth hemisphere of radius R with the horizontal speed mu . Calculate the angle with verticle where it loses contact with the hemisphere.

A particle of maas m is attched to a light string of length l, the other end of which is fixed. Initially the string is kept horizontal and the particle is given an upwrd velocity v. The particle is just able to complete a circle

A particle rests on the top of a smooth hemisphere of radius r . It is imparted a horizontal velocity of sqrt(etagr) . Find the angle made by the radius vector joining the particle with the vertical at the instant the particle losses contact with the sphere.

A particle at rest is constrained to move on a smooth horizontal surface. Another identical particle hits the fractional particle with a velocity v at an angle theta=60^(@) with horizontal. If the particles move together, the velocity of the combination just after impact is equal to

A particle at rest is constrained to move on a smooth horizontal surface. Another identical particle hits the stationary particle with a velocity v at an angle theta=60^(@) with horizontal. If the particles move together, the velocity of the combination just after the impact is equal to

A body kept on a smooth horizontal surface is pulled by a constant horizontal force applied at the top point of the body. If the body rolls purely on the surface, its shape can be-

A small particle rest on the top of a hemisphere of radius 20 cm .The smallest horizontal velocity os given to it , if it is to leave the hemisphere without sliding down to its surface ,is