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 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 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 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 ring of mass m and radius a is connected to an inextensible string which passes over a frictionless pulley. The other end of string is connected to upper end of a massless spring of spring constant k. The lower end of the spring is fixed. The ring can rotate in the vertical plane about hinge without any friction. If horizontal position of ring is equilibrium position then find time period of small in oscillations of the ring.

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