Figure shows a smooth vertical circular track AB of radius R. A block slides along the surface AB when it is given a velocity equal to `sqrt(6gR)` at point A. The ratio of the force exerted by the track on the block at point A to that at point B is

AOB is a smooth semicircular track of radius r. A block of mass m is given a velocity sqrt(2rg) parallel to track at point A. Calculate normal reaction between block and track when block reaches at point O.

AOB is a smooth semicircular track of radius r. A block of mass m is given a velocity sqrt(2rg) parallel to track at point A. Calculate normal reaction between block and track when block reaches at point O.

A particle tied to a string describes a vertical circular motion of radius r continually if it has a velocity sqrt(3gr) at the highest point, then the ratio of the respective tensions in the string holding it at the highest point and lowest points is:

In a circus a rider rides in circular track of radius R in the vertical plane. The minimum velocity at highest point of the track will be :

A block of mass m is placed on a vertical fixed circular track and then it is given velocity v along the track at position A on track. The coefficient of friction between the block and the track varies with the angle theta . If the block moves on track with constant speed then the coefficient of friction is

A block of mass m is placed on a vertical fixed circular track and then it is given velocity v along the track at position A on track. The coefficient of friction between the block and the track varies with the angle theta . If the block moves on track with constant speed then the coefficient of friction is

Figure shows a smooth track, a part of which is a circle of radius R. As block of mass m is pushed against a spring of spring constant k fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.

Figure shows a smooth track, a part of which is a circle of radius r . A block of mass m is pushed against a spring of spring constant k fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.

Figure shows a smooth track, a part of which is a circle of radius r . A block of mass m is pushed against a spring of spring constant k fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.