A block of mass `m` is lying at rest at point P of a wedge having a smooth semi-circular track of radius R. What should be the minimum value of `a_0` so that the mass can just reach point Q

A block of mass m resting on a wedge of angle theta as shown in the figure. The wedge is given an acceleration a. What is the minimum value of a so that the mass m falls freely ?

A small block of mass m=2kg is at rest point P of the stationary wedge having frictionless hemispherical track of radius R=4m . The minimum constant acceleration 'a_(0)' ( in m//s^(2) ) is to be given to the wedge in horizontal direction, so that the small block just reaches the point Q as shown in figure. Assume all the contacts are frictionless and g=10m//s^(2) . If a_(0)=2xm//s^(2) . Find the value of x

A small ball is rolled with speed u from point A along a smooth circular track as shown in figure. If x=3R , then What is the minimum value of x for which the ball can reach the point of projection after reaching C?

A block of mass m is released from rest ffrom point A which rests on a semi circular groove as shown in the diagram. Find value of normal reaction between the vertical wall and the large block of mass M when m reaches at B.

A block of mass m is pushed towards the movable wedge of mass M and height h , with a velocity v_(0) . All surfaces are smooth . The minimum value of v_(0) for which the block will reach the top of the wedge is

A block of mass m is pushed towards a movable wedge of mass nm and height h , with a velocity u . All surfaces are smooth. The minimum value of u for which the block will reach the top of the wedge is

A small block of mass m is pushed towards a movable wedge of mass etam and height h with initial velocity u.All surface are smooth. The minimum value of u for which the block will reach the top of the wedge:

A small block of mass m, can move without friction on the outside of a fixed vertical circular track of radiusR. The block is attached to a spring of natural length R//2 and spring constant K. The other end of spring is connected to a point at height R//2 directly above the centre of track. If the complete stup is in a gravity free space, then the minimum speed (v_(0)) required at the highest point A to just reach the lowest point is

A small block of mass m, can move without friction on the outside of a fixed vertical circular track of radiusR. The block is attached to a spring of natural length R//2 and spring constant K. The other end of spring is connected to a point at height R//2 directly above the centre of track. Consider block to be at rest at top most point A of track. If the block is slowly pushed from rest at the highest A. When the spring reaches in horizontal state, then.