A small ring of mass `m_(1)` is connected by a string of length l to a small heavy bob of mass `m_(2)`. The ring os free to move (slide) along a fixed smooth horizontal wire. The bob is given a small displacement from its equilibrium position at right angles to string. Find period of small oscillations.

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. Tension in string when it is vertical, is

A uniform ring of radius 'R' is suspended from a horizontal nail 'A' as shown. Find time period of its small oscillations.

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. The displacement of centre of mass of A + B system till the string becomes vertical is

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. The displacement of block when equilibrium position is

A retangular block of mass m and area of cross a small verticle displacement from equilibrium it undergoes oscilation with a timme period T then

There is a rod of length l and mass m . It is hinged at one end to the ceiling. The period of small oscillation is

A particle of mass 2m is connected by an inextensible string of length 1.2 m to a ring of mass m which is free to slide on a horizontal smooth rod. Initially the ring and the particle are at the same level with the string taut. Both are then released simultaneously. The distance in meter moved by the ring when the string becomes veritcal is :-

A weightless rigid rod with a small iron bob at the end is hinged at point A to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible string of length 20cm , fixed at its midpoint. The bob is displaced slightly perpenducular to the plane of the rod and string. Find period of small oscillations of the system in the form (piX)/(10)s and fill the value of X.