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 disc of mass M is attached to a horizontal massless spring of force constant K so that it can roll with out slipping along a horizontal surface. If the disc is pulled a little towards right and then released, its centre of mass executes SHM with a period of

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 spring of force constant 'k' is cut into four equal parts one part is attached with a mass m. The time period of oscillation will be

A spring of force constant 'k' is cut into four equal parts one part is attached with a mass m. The time period of oscillation will be

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 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 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 rolls without slipping on a horizontal surface such that v_(c.m.)=v_(0) .