What is the minimum value of coefficient of friction between the cylinder and inclined plane for rolling without slipping ?

A solid cylinder is rolling down on an inclined plane of angle theta . The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling

A solid cylinder is rolling down on an inclined plane of angle theta . The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling

A solid cylinder is rolling down on an inclined plane of angle theta . The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling

A solid cylinder of mass 8 kg and radius 50 cm is rolling down a plane inclined at an angle of 30^@ with the horizontal. The minimum value of coefficient of friction so that cylinder does not slip while rolling down the plane.

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination theta ?

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination theta ?

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination theta ?