B M Sharma Solutions for Chapter: Rigid Body Dynamics: Part 2, Exercise 6: CONCEPT APPLICATION EXERCISE

A cylinder of mass $m$ is rotated about its axis by an angular velocity $\omega$ and lowered gently on an inclined plane as shown in figure. Then:

Figure shows a smooth inclined plane fixed in a car accelerating on a horizontal road. The angle of incline $\mathrm{\theta }$ is related to the acceleration $a$ of the car as $a=g\tan \theta$. If the sphere is set in pure rolling on the incline,
 

A sphere is moving on a smooth surface with linear speed $v_0$ and angular velocity ${\omega }_0.$ It finds a rough inclined surface and it starts climbing up:

A sphere, a ring and a disc of same mass and radius are allowed to roll down three similar sufficiently rough inclined planes as shown in the figure from same height.

Which of the following order is true for final $KE$ of the bodies?