Prism 1 of mass `m_1` and width angle `alpha` (see figure) rests on a horizontal surface. Bar 2 of mass `m_2` is placed on the prism. Assuming the friction to be negligible, find the acceleration of the prism.

A block of mass m is arranged on the wedge as shown in figure . The wedge angle is theta . If the masses of pulley and thread and negligible and friction is absent , find the acceleration of the wedge

An equilateral prism of mass m rests on a rough horizontal surface with ceefficeint of friction mu . A horozontal force F is applied on the prism as shown. If the coefficeint of friction is sufficiently high so that the prism does not slide before toppling, the minimum force required to topple the prism is

A small block B of mass m_2 is placed on another block A of mass m_1 A constant horizontal force F is applied to the block A. All the surfaces are assumed to be frictionless. Find the acceleration of center of mass of the system

A heavy mass m slides down a triangular prism of mass M . The prism lies on a horizontal surface and can move along it without friction . What will be the direction of motion of m if the inclination of the hypotenuse of the prism is alpha with the horizontal ?