PYQ Vault
EbooksTutor

Kinetic energy of a rolling body: translational and rotational shares

This type of question, asked 6 times: 4 May 2023 S2, 10 May 2023 S1, 9 May 2024 S1, 20 Apr 2025 S2, 13 Apr 2026 S2, 18 Apr 2026 S2. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    4 May 2023 S2

    32
    A solid cylinder of mass 'M' and radius 'R' rolls down an inclined plane of height 'h'. When it reaches the foot of the plane, its rotational kinetic energy is (g=g = acceleration due to gravity)

    Tap an option to check your answer.

  2. Question 2

    10 May 2023 S1

    31
    A ring and a disc roll on horizontal surface without slipping with same linear velocity. If both have same mass and total kinetic energy of the ring is 6 J, then total kinetic energy of the disc is

    Tap an option to check your answer.

  3. Question 3

    9 May 2024 S1

    31
    A solid sphere rolls without slipping on an inclined plane at an angle θ\theta. The ratio of total kinetic energy to its rotational kinetic energy is

    Tap an option to check your answer.

  4. Question 4

    20 Apr 2025 S2

    40
    A disc of mass ' mm ' and radius ' rr ' rolls down an inclined plane of height ' hh '. When it reaches the bottom of the plane, its rotational kinetic energy is ( g=g = acceleration due to gravity)

    Tap an option to check your answer.

  5. Question 5

    20 Apr 2025 S2

    29
    A solid sphere rolling without friction on a horizontal surface with a constant speed of 2 m/s2\,m/s, rolls up on an inclined ramp which is inclined at 30∘30^{\circ}. The maximum distance travelled by the sphere on the inclined ramp is (acceleration due to gravity g=10 m/s2,sin⁡30∘=12g = 10\,m/s^{2}, \sin 30^{\circ} = \frac{1}{2})

    Tap an option to check your answer.

  6. Question 6

    13 Apr 2026 S2

    106
    A solid sphere of mass 11 kg rolls without slipping on a plane surface. Its kinetic energy is 7×10−37 \times 10^{-3} J. The speed of the center of mass of the sphere in cm s−1\mathrm{s^{-1}} is

    Tap an option to check your answer.

  7. Question 7

    18 Apr 2026 S2

    107
    A solid sphere rolls without slipping on an inclied plane at an angle θ\theta. The ratio of total kinetic energy to its rotational kinetic energy is

    Tap an option to check your answer.