$A$ disc of mass $M$ and radius $R$ is rolling on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is $v$,what is the maximum height $h$ reached by the disc?

An inclined plane makes an angle of $30^\circ$ with the horizontal. $A$ solid sphere starts rolling down from rest without slipping. Its linear acceleration will be:

If a cylinder is rolling down an incline with sliding, then which of the following is true?

$A$ solid cylinder rolls without slipping down an inclined plane of height $h$. The velocity of the cylinder when it reaches the bottom is

$A$ cylinder rolls down two different inclined planes of the same height but of different inclinations.

Two bodies,a ring and a solid cylinder of the same material,are rolling down without slipping an inclined plane. The radii of the bodies are the same. The ratio of the velocity of the centre of mass at the bottom of the inclined plane of the ring to that of the cylinder is $\frac{\sqrt{x}}{2}$. Then,the value of $x$ is .... .