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Rotational Dynamics

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 8 times: 9 May 2023 S1, 15 May 2023 S1, 13 May 2024 S2, 14 May 2024 S1, 25 Apr 2025 S2, 19 Apr 2026 S1, 15 May 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 8 of this type

    107
    A uniform rod of length ll is free to rotate in a vertical plane about a fixed horizontal axis through point B. The rod begins rotating from rest, from its unstable equilibrium position. The angular velocity ω\omega, when it has turned through an angle θ\theta, is

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  2. Question 2

    This type asked 8 times: 11 May 2023 S2, 15 May 2023 S2, 10 May 2024 S1, 11 May 2024 S1, 12 May 2024 S1, 16 Apr 2026 S1, 17 Apr 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 8 of this type

    108
    Moment of inertia of a disc of mass mm and radius RR about the centre of mass and perpendicular to plane is I1I_1 and moment of inertia of disc at a distance 2R3\dfrac{2R}{3} from centre and perpendicular to plane is I2I_2 then I1/I2I_1/I_2 is

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  3. Question 3

    This type asked 8 times: 4 May 2023 S1, 10 May 2023 S2, 11 May 2024 S2, 21 Apr 2025 S2, 17 Apr 2026 S1, 18 Apr 2026 S1, 20 Apr 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 8 of this type

    104
    Two bodies rotate with kinetic energies E1E_1 and E2E_2, moment of inertia about their axes of rotation is I1I_1 and I2I_2. If 3I1=I23I_1 = I_2 and E1=27E2E_1 = 27E_2 then the ratio of the angular momenta L1L_1 to L2L_2 is

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  4. Question 4

    This type asked 7 times: 25 Apr 2025 S2, 13 Apr 2026 S2, 16 Apr 2026 S2, 17 Apr 2026 S2, 18 Apr 2026 S1, 19 Apr 2026 S1, 14 May 2026 S1. This one: 14 May 2026 S1 See all 7 of this type

    107
    The moment of inertia of a solid sphere about an axis passing through centre of gravity is 2MR25\dfrac{2MR^2}{5} where M is the mass and R is the radius. The radius of gyration about a parallel axis at a distance 2R2R from first axis is

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  5. Question 5

    This type asked 7 times: 10 May 2024 S2, 13 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 21 Apr 2025 S1, 17 Apr 2026 S1, 12 May 2026 S1. This one: 12 May 2026 S1 See all 7 of this type

    105
    Four solid spheres, each of diameter 5\sqrt{5} cm and mass 0.50.5 kg are placed with their centres at the corners of a square of side 44 cm. The M.I. of the system about the diagonal of the square is N×10−4N \times 10^{-4} kg-m2^2, then NN is

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  6. Question 6

    This type asked 6 times: 15 May 2023 S2, 19 Apr 2025 S2, 26 Apr 2025 S2, 13 Apr 2026 S1, 20 Apr 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 6 of this type

    107
    A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane x5\sqrt{\dfrac{x}{5}} where the value of xx is

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  7. Question 7

    This type asked 6 times: 12 May 2024 S2, 19 Apr 2025 S1, 19 Apr 2025 S2, 19 Apr 2026 S2, 14 May 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 6 of this type

    103
    The maximum and minimum tensions in the string whirling in a circle of radius 2.52.5 m are in the ratio 5:35 : 3 then its velocity is (g=10 m/s2)(g = 10\ \mathrm{m/s^2})

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  8. Question 8

    This type asked 6 times: 4 May 2023 S2, 12 May 2024 S1, 21 Apr 2025 S2, 25 Apr 2025 S1, 11 Apr 2026 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 6 of this type

    105
    A disc of moment of inertia I1I_1 is rotating in horizontal plane about an axis passing through centre and perpendicular to its plane with constant angular speed ω1\omega_1. Another disc of moment of inertia I2I_2 having zero angular speed is placed co-axially on a rotating disc. Now, both the discs are rotating with constant angular speed ω2\omega_2. The energy lost by the entire system is xω122\dfrac{x\omega_1^2}{2} where the value of xx is

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  9. Question 9

    This type 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. This one: 18 Apr 2026 S2 See all 6 of this type

    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

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  10. Question 10

    Asked 5 times: 3 May 2023 S1*, 3 May 2023 S2, 16 May 2023 S1, 21 Apr 2025 S1*, 12 May 2026 S2 (* = numbers or wording changed that year) See all 5 times it was asked

    106
    Two loops AA and BB of radii R1R_1 and R2R_2 are made from uniform wire. If moment of inertia of loops AA and BB is IAI_A and IBI_B respectively then R1R2\dfrac{R_1}{R_2} is (Given: IAIB=27\dfrac{I_A}{I_B} = 27)

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