A solid sphere of mass `M` is placed on the top of a plank of the same mass, after giving an angular velocity `omega_(0)` at `t= 0`. Find the velocity of the plank and the sphere when the sphere starts rolling:,

A solid metal sphere and a solid wooden sphere are having the same mass. If they are spinning with same angular velocity, then

A plank of mass M rests on a smooth horizontal plane. A sphere of mass m and radius r is placed on the rough upper surface of the plank and the plank is suddenly given a velocity v in the direction of its length. Find the time after which the sphere begins pure rolling, if the coefficient of friction between the plank and the sphere is mu and the plank is sufficiently long.

A uniform solid sphere of radius R , rolling without sliding on a horizontal surface with an angular velocity omega_(0) , meets a rough inclined plane of inclination theta = 60^@ . The sphere starts pure rolling up the plane with an angular velocity omega Find the value of omega .

A uniform solid sphere of radius R , rolling without sliding on a horizontal surface with an angular velocity omega_(0) , meets a rough inclined plane of inclination theta = 60^@ . The sphere starts pure rolling up the plane with an angular velocity omega Find the value of omega .

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Acceleration of centre of mass of sphere is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Acceleration of centre of mass of sphere is