A circular annulus, of mass M, inside radius a and outside radius 2a, is given an angular speed w about an axis, through its center perpendicular to its plane, which is horizontal. It is then gently placed on a rough horizontal plane, the coefficient of friction being u. Show that the annulus will start rolling without slipping after a time (10aw/13ug). The experiment is repeated in a space craft on a circular orbit around the earth. State giving reasons, whether or not the annulus will still roll without slipping after the same time interval.
A circular annulus, of mass M, inside radius a and outside radius 2a, is given an angular speed w about an axis, through its center perpendicular to its plane, which is horizontal. It is then gently p...
The moment of inertia of a cylinder of mass m, radius a, length l, about its axis is given by 3ma2/5. This cylinder is rolling with speed V on a rough horizontal plane and the coefficient of friction between the cylinder and the plane is u. A constant braking couple of magnitude 11umag/5 is applied to the cylinder at time t= 0 and is maintained. Show that the cylinder skids immediately. Show also that the cylinder will instantaneously cease to...