A ball is thrown down a lawn in such a way that it initially slides with a speed `v_(0)` without rolling. It gradually picks up rotational motion. Prove that it will be without sliding, that is, its motion will be pure rolling when its speed falls to `5/7v_(0)`.

A ball is thrown down a lawn in such a way that it initially slides with a speed v_(0) without rolling. It gradually picks up rotational motion. Find the speed of the ball at which there will be rolling without slipping :

A heavy disc is thrown on a horizontal surface in such a way that it slides with a speed V_(0) intially without rollind . It will start rolling without slipping when its speed is reduced

A ball (solid sphere) is thrown down the valley in such a way that it slides with a speed v_(0) initially without rolling. Prove that it will roll without any sliding when its speed falls to (5/7)v_(0) . The transition from pure sliding to pure rolling is gradual, so that both sliding and rolling take place during this interval.

A ball (solid sphere) is thrown down the valley in such a way that it slides with a speed v_(0) initially without rolling. Prove that it will roll without any sliding when its speed falls to (5/7)v_(0) . The transition from pure sliding to pure rolling is gradual, so that both sliding and rolling take place during this interval.

A uniform disc of mass m and radius R is thrown on horizontal lawn in such a way that it initially slides with speed V_0 without rolling. The distance travelled by the disc till it starts pure rolling is (Coefficient friction between the contact is 0.5)

A heavy solid sphere is thrown on a horizontal rough surface with initial velocity u without rolling. What will be its speed, when it starts pure rolling motion ?

A heavy solid sphere is thrown on a horizontal rough surface with initial velocity u without rolling. What will be its speed, when it starts pure rolling motion ?

A sphereicla ball of mass M and radius R is projected along a rough horizontal surface so that initially (t=0) it slides with a linear speed v_(0) but does not rotate. As it slides, it begins to spin and eventually rolls without slipping. How long does it take to begin rolling without slipping?