A cylinder is rolling without slipping on an inclined plane. Show that to prevent slipping the condition is `mu_(s) ge 1/3 tan theta`.

A solid cylinder is rolling without slipping on a plane having inclination theta and the coefficient of static friction mu_(s) . The relation between theta and mu_(s) is

A solid cylinder is rolling down the inclined plane without slipping. Which of the following is correct?

Derive an expression for the acceleration of a solid cylinder rolling without slipping down an inclined plane. Also find the minimum coefficient of friction required for pure rolling

A solid spherical ball is rolling without slipping down an inclined plane. The fraction of its total kinetic energy associated with rotation is

A solid cylinder is rolling down a rough inclined plane of inclination theta . Then

A spherical shell of mass m and radius R is rolling up without slipping on a rough inclined plane as shown in the figure. The direction of static friction acting on the shell is

If a solid cylinder rolls without slipping on an inclined plane of inclination '0' then the minimum coefficient of friction required to support pure rolling is

If a solid cylinder rolls without slipping on an inclined plane of inclination 45°, then the minimum coefficient of friction required to support pure rolling is

A rolling object rolls without slipping down an inclined plane (angle of inclination theta ), then the minimum acceleration it can have is ?

A sphere and a hollow cylinder roll without slipping down two separate inclined planes and travel the same distance in the same time. If the angle of the plane down which the sphere rolls is 30^(@) , the angle of the other pane is