Ratio of rotational kinetic energies of a solid sphere and a solid cylinder with different angular speeds
The same question, asked 3 times: 4 May 2023 S1, 22 Apr 2025 S1, 22 Apr 2025 S2. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
4 May 2023 S1
36A solid cylinder of mass M and radius R is rotating about its geometrical axis. A solid sphere of the same mass and same radius is also rotating about its diameter with an angular speed half that of the cylinder. The ratio of the kinetic energy of rotation of the sphere to that of the cylinder will beTap an option to check your answer.
Question 2
22 Apr 2025 S1
8A solid sphere of mass ' ' and radius ' ' is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with angular speed twice that of sphere. The ratio of kinetic energy of sphere to kinetic energy of cylinder will beTap an option to check your answer.
Question 3
22 Apr 2025 S2
19A solid cylinder of mass ' ' and radius ' ' is rotating about its geometrical axis. A solid sphere of same mass and same radius is also rotating about its diameter with an angular speed half that of the cylinder. The ratio of the kinetic energy of rotation of the sphere to that of the cylinder will beTap an option to check your answer.