Pure Rolling

In this passage a brief idea is given of the motion of the rolling bodies on an inclined plane. We will consider three cases: objects are released on an incline plane Case-A: which is smooth. Case-B: where friction is insufficient to provide pure rolling. Case-C: where friction is sufficient to provide pure rolling. Force diagram for three cases are as follows: (where symbols have their usual meanings) We have four objects: a solid sphere, a hollow sphere, a ring and a disc, all of same radius. When these are released on an inclined plane, it may happen that all of them do not perform pure rolling. But from the information of pure rolling, if one object can be confirmed to be purely rolling then it can be said that rest all will perform pure rolling. This object whose pure rolling confirms pure rolling of all other objects is

A rigid body I = CMR^(2) is set into a motion on a rough horizontal surface with a linear speed v_(0) in the forward direction at time t = 0 as shown in figure. After what time slipping finally stop and pure rolling starts. Find the linear speed of the body after it starts pure rolling on the surface.

Figure shows a yo-yo placed on a rough surface friction is sufficient for pure rolling. After force F acts pure rolling begins Statement-1: Angular acceleration of yo-yo is in clockwise sense. Statement-2: Torque due to F must be larger than the torque due to friction.

A solid sphere rolling on a rough horizontal surface with a linear speed v collides elastically with a fixed, smooth, vertical wall. Find the speed of the sphere after it has started pure rolling in the backward direction.

A hollow sphere rolls down a rough inclined plane whose angle of inclination is theta , with horizontal. For the hollow sphere to undergo pure rolling, without slipping, the condition is [ mu = coefficient of friction between the hollow sphere and inclined plane]

In this passage a brief idea is given of the motion of the rolling bodies on an inclined plane. We will consider three cases: objects are released on an incline plane Case-A: which is smooth. Case-B: where friction is insufficient to provide pure rolling. Case-C: where friction is sufficient to provide pure rolling. Force diagram for three cases are as follows: (where symbols have their usual meanings) Three solid uniform spheres are released on an inclined plane as shown in the figure. The distance between the spheres remains constant during motion in:

A cylinder is rotating with angular velocity omega_(0) and is gently put on a rough horizontal floor. Assume mass of the cylinder is m and radius R. Calculate the velocity of cylinder when it starts pure rolling on the surface.

A disc is rolling on a rough horizontal surface. The instantaneous speed of the point of contact during perfect rolling is zero with respect to ground. The force of friction can help in achieving pure rolling condition.