[" 18.A solid sphere of radius "R" is "],[" released on a rough horizontal "],[" surface with its top point having "],[" thrice the velocity of its bottom "],[" point A "(V_(A)=V_(0))" as shown in "],[" figure.Calculate the linear "]

(i) A solid sphere of radius R is released on a rough horizontal surface with its top point having thrice the velocity of its bottom point A (V_(A) = V_(0)) as shown in figure. Calculate the linear velocity of the centre of the sphere when it starts pure rolling. (ii) Solid sphere of radius R is placed on a rough horizontal surface with its centre having velocity V_(0) towards right and its angular velocity being omega_(0) (in anticlockwise sense). Find the required relationship between V_(0) and omega_(0) so that - (a) the slipping ceases before the sphere loses all its linear momentum. (b) the sphere comes to a permanent rest after some time. (c) the velocity of centre becomes zero before the spinning ceases.

A solid sphere of mass m and radius R rolls without slipping on a horizontal surface such that v_(c.m.)=v_(0) .

A solid sphere of mass M and radius R is pulled horizontally on a rough surface as shown in Fig. Choose the incorrect alternatives.

A solid sphere of mass M and radius R is pulled horizontally on a rough surface as shown in Fig. Choose the incorrect alternatives.

A uniform solid sphere of mass m and radius r = 3m is projected along a rough horizontal surface with the initial velocity v_(0) = 6m//s and angular omega_(0) velocity as shown in the figure. If the sphere finally comes to complete rest then angular velocity is x rad/s. Find x.

A solid sphere is set into motion on a rough horizontal surface with a linear velocity v in the forward direction and an angular velocity v/R in the anticlockwise direction as shown in the figure. Find the linear speed of the sphere, when it stops rotating.

A disc of radius R is moving on a rough horizontal surface with velocity v and angular speed omega at an instant as shown in figure. Choose the correct statement.

A disc of radius R is moving on a rough horizontal surface with velocity v and angular speed omega at an instant as shown in figure. Choose the correct statement.

A solid sphere rolling on a rough horizontal surface. Acceleration of contact point is zero. A solid sphere can roll on the smooth surface.