A solid uniform cylinder of mass `M` attached to a massless spring of force constant k is placed on a horizontal surface in such a way that cylinder can roll without slipping. If system is released from the stretched position of the spring, then the period will be-

A solid sphere of mass M and Radius R is attached to a massless spring of force constant k as shown in the figure. The cylinder is pulled towards right slightly and released so that it executes simple harmonic motion of time period. If the cylinder rolls on the horizontal surface without slipping, calculate its time period of oscillation.

A small solid cylinder of mass M attached to horizontal massless spring can roll without slipping along a horizontal surface. Show that if the cylinder is displaced slightly and released, it executes S.H.M. Also find its time period.

A small solid cylinder of mass M attached to horizontal massless spring can roll without slipping along a horizontal surface. Show that if the cylinder is displaced slightly and released, it executes S.H.M. Also find its time period.

A solid sphere of mass m is attached to a light spring of force constant k so that it can roll without slipping along a horizontal surface. Calculate the period of oscillation made by sphere.

A solid sphere of mass m is attached to a light spring of force constant k so that it can roll without slipping along a horizontal surface. Calculate the period of oscillation made by sphere.

A solid cylinder is attached to a horizonatal massless spring as shwn in figure.If the cyclinder rolls without slipping, the time period of oscillation of the cyclinder is

A solid cylinder is attached to a horizonatal massless spring as shwn in figure.If the cyclinder rolls without slipping, the time period of oscillation of the cyclinder is

A solid cylinder of mass m is attached to a horizontal spring with force constant k . The cylinder can roll without slipping along the horizontal plane. (See the accompanying figure.) Show that the center of mass of the cylinder executes simple harmonic motion with a period T = 2pisqrt((3m)/(2k)) , if displaced from mean position.