A dise of mass `m` hanged by a string is attached at `P` and a spring of stiffness `k` is attached at `O`. Find the frequency of small angular oscillation of the dise if the string does not slide over the pulley. Assume `l_(0) = Ml` of the dise about `O`.

A disc of mass m hanged by a string is attached at P and a spring of stiffness k is attached at Q . Find the frequency of small angular oscillation of the disc if the string does not slide over the pulley. Assume l_(0) = Ml of the dise about O .

A disk of mass m is connected to two springs of stiffness k_(1) and k_(2) as shown in the figure. Find the angular frequency of the system for small oscillation. Disc can roll on the surface without slipping

The pulley of mass m shown in figure has moment of inertia I about its axis. Find the time period of vertical oscillation of its centre of mass. The spring has spring constant k and the string does not slip over the pulley.

A block of mass m is attached at the end of an inextensible string which is wound over a rough pulley of mass M and radius R figure a. Assume the string does not slide over the pulley. Find the acceleration of the block when released.

A block of mass m is attached at the end of an inextensible string which is wound over a rough pulley of mass M and radius R figure a. Assume the stirng does not slide over the pulley. Find the acceleration of the block when released.

Consider the situation shown in the figure. A mass is hanging from a inextensible string which is passing over a pulley. The pulley itself is attached to a massless spring of stiffness k as shown in the figure. Find the time period of vertical oscillations of mass m if pulley is slightly displaced from its mean position. Assume that string does not slip over pulley.

Find the frequency of small oscillations of the arrangement illustrated in figure. The radius of the pulley is R , its moment of inertia relative to the rotation axis is I , the mass of the body is m , and the spring stiffness is x .The mass of the thread and the spring is negligible , the thread does not slide over the pulley, there is no friction in the axis of the pulley

The pulley shown in figure has a moment of inertias I about its axis and mass m. find the time period of vertical oscillation of its centre of mass. The spring has spring constant k and the string does not slip over the pulley.