$A$ ring,a solid sphere,and a disc are rolling down from the top of an inclined plane of the same height. What is the sequence in which they reach the surface?

$A$ disc of mass $M$ and radius $R$ rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is $v,$ the height to which the disc will rise will be

$A$ sphere is released from rest on an incline having a friction coefficient of $\mu = \frac{1}{7} \tan \theta$. What will be the nature of its motion?

What is the velocity of a sphere starting from rest and rolling without slipping down an inclined plane of vertical height $h$?

$A$ hollow sphere of mass $m$ filled with a non-viscous liquid of same mass $m$ is released on a slope inclined at angle $\theta$ with the horizontal. The friction between the sphere and the slope is sufficient to prevent sliding,and frictional forces between the inner surface of the sphere and the liquid are negligible. After descending a certain height,the ratio of translational and rotational kinetic energies is found to be $x:y$. Find the numerical value of the expression $(x+y)_{min}$.

$A$ hollow cylinder is rolling on an inclined plane,inclined at an angle of $30^{\circ}$ to the horizontal. Its speed after travelling a distance of $10 \ m$ will be .......... $m/s$.