A particle of mass m is placed upon the smooth face of a prism, also of mass m, which particle is placed , is inclined at an angle `alpha` to the horizontal . Show that when the particle has moved a distance x down the face of the prism the prism itself will have moved a distance of `(1)/(2)x "cos" alpha`

A particle of mass m is placed at rest on the top of a smooth wedge of mass M, which in turn is placed at rest on a smooth horizontal surface as shown in figure. Then the distance moved by the wedge as the particle reaches the foot of the wedge is :

A body with a mass m slides along the surfac of a trihedral prism of mass M, whose upper plane is inclined at an angle alpha to the horizontal. The prism rests on a horizontal plane having a vertical ledge at the rear edge of the prism to keep it at rest as show in figure-2.69. Find the force exerted by the base of the prism on the plane ? Also find the force exerted by ledge on prism. [Mg +mgcos^(2)alpha, mg sinalphacosalpha]

A particle of mass m attached to a string of length l is descending circular motion on a smooth plane inclined at an angle alpha with the horizontal. For the particle to reach the highest point its velocity at the lowest point should exceed.

A cannon of mass m_(1) fires a shell of mass m_(2) with speed v_(0) relative to the barrel which is inclined at an angle alpha with horizontal . Find the recoil speed of cannon if it is placed on ice.

A particle of mass m and charge q is placed at rest in a uniform electric field E and then released, the kinetic energy attained by the particle after moving a distance y will be

A particle of mass m is released on a fixed. Smooth sphere of radius R at a position, where the radius through the particle makes an angle of alpha with the verticle. What is the angle made by radius through the particle when the particle loses contact with sphere? (cos alpha=3//4)

Two particles of mass 2m and m moving with speed v and 2v respectively pependicular to each other collides perfectly inelastically, then Find the angle with the horizontal to which the particles move after collision.

A triangular prism of mass m placed on it is released from rest on a smooth inclined plane of inclination theta The block does not slip on the prism. Then

A block B of mass 0.6kg slides down the smooth face PR of a wedge A of mass 1.7kg which can move freely on a smooth horizontal surface. The inclination of the face PR to the horizontal is 45^(@) . Then :