A wheel of radius r starts rolling with an angular velocity `omega` and initial linear velocity `V_(0)` up an inclined smooth plane.The wheel will stop going up in time

A uniform circular cylinder of mass m and radius r is given an initial angular velocity omega_() and no initial translational velocity it is placed in contact with a plane inclined at an angle alpha to the horizontal. If there is a coefficient of friction mu for sliding between the cylinder and plane. Find the distance the cylinder moves up before sliding stops also calculate the maximum distance it travels up the plane assume mugttanalpha .

A cycle wheel is rotating with uniform angular velocity omega A graph is plotted between tangential veloities from the axis. The graph is

A wheel of radius R rolls on the ground with a unifrom velocity v . The velocity of topmost point releative to bottom must point is

A wheel starts from rest and acquires an angular velocity of 60 rad//s in half a minute . Then its angular acceleration is

A wheel of mass M and radius a and M.I. I_G (about centre of mass) is set rolling with angular velocity omega up a rough inclined plane of inclination theta . The distance traveled by it up the plane is

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 .