Rotational Dynamics MCQ Practice_2

Consider a solid cylinder of uniform mass density and a very thin cylindrical shell of uniform mass per unit area. They have the same radius, length, and total mass. If they are both rolling on a plane without slipping with the same angular velocity, the ratio of the total kinetic energy of the solid cylinder to that of the cylindrical shell is Two wheels A and B in the figure below are connected by a belt that does not slip. The radius of B is 4 times the radius of A. What would be the ratio of the rotational inertias (𝐼_𝐴/𝐼_𝐵 ) if the two wheels had the same rotational kinetic energy KErot? A solid cylinder of mass m and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its center of mass when the cylinder reaches its bottom?