Aspire NEET 2020: Rotational Motion Class 2 (Moving Axis Rotation)

Three objects, A : (a solid sphere), B : (a thin circular disc) and C = (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation :-

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

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (friction-less) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

A uniform non-deformable cylinder of mass and radius is rolling without slipping on a horizontal rough surface. The force of friction is

An annular ring with inner and outer radii R₁ and R₂ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, F₁/F₂ is

A rigid ball rolls without slipping on a surface shown below.

Which on the following is the most likely representation of the distance traveled by the ball vs time graph?

A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v₀, We consider a point P on the surface of the disc. Then, the acceleration of the point P is