A smooth hemispherical bowl is fixed on a surface. A small sphere placed at the bottom of the vessel is given a horizontal velocity of 10m/s. Throughout the motion, if sphere is not loosing it's contact with the bowl, the maximum height (in meter) that it reaches is

A small body of mass 'm' is placed at the top of a smooth sphere of radius 'R' placed on a horizontal surface as shown, Now the sphere is given a constant horizontal acceleration a_(0) = g . The velocity of the body relative to the sphere at the moment when it loses contact with the sphere is

Two bodies are thrown with the same initial velocity of 30 m/s. One at 17°, other at 73° to the horizontal. The sum of the maximum heights reached by them is [g = 10 m//s^(2) ]

A rod of length L is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At at certain instant of time, when the rod makes an angle 37^@ with horizontal the velocity of COM of the rod of 2m//s . The velocity of the end of the rod in contact with the surface at that instant is

A hollow vertical cylinder of radius R and height h has smooth internal surface. A small particle is placed in contact with the inner side of the upper rim at a point P. It is given a horizontal speed V_0 tangential to rim. It leaves the lower rim at point Q, vertically below P. The number of revolutions made by the particle will be:

A smooth wedge of mass M rests on a smooth horizontal surface. A block of mass m is projected from its lowermost point with velocity v_(0) . What is the maximum height reached by the block?

A smooth wedge of mass M rests on a smooth horizontal surface. A block of mass m is projected from its lowermost point with velocity v_(0) . What is the maximum height reached by the block?

All surfaces shown in figure are smooth. Wedges of mass 'M' is free to move. Block of mass 'm' is given a horizontal velocity v_0 as shown. Find the maximum height 'h' attained by 'm' (over the wedges or outside it).

A small mass of 10 g lies in a hemispherical bowl of radius 0.5 m at a height of 0.1 m from the bottom of the bowl. The mass will be in equilibrius if the bowl rotates at an

A small block of mass m is placed at the bottom of fixed circular smooth surface of radius R as shown in the figure If a velocity v. 14 gR is given to the block then maximum height from the bottom of circular surface, where block will leave the contact

Figure shows a body A at the top of a frictionless hemispherical inverted bowl of radius R. If the body starts slipping from the highest point, then the horizontal distance between the point where it leaves contact with sphere and the point at which the body was placed is