Free physics question bank

angular momentum in pure rotation and its conservation questions with solutions

Practice Rotational Motion for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 62 questions

  • NumericmediumRotational Motion

    Consider a Disc of mass 5 kg, radius 2m, rotating with angular velocity of 10 rad/s about an axis perpendicular to the plane of rotation. An identical disc is kept gently over the rotating disc along the same axis. The energy dissipated so that both the discs continue to rotate together without slipping is _____ J.

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    JEE Mains 2024 30 Jan Morning Shift

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  • MCQeasyRotational Motion

    A disc rotates with angular speed ω. If a child sits on it and no external torque acts, which quantity is conserved?

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    AIPMT 2002NEET

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  • Multi-correctmediumRotational Motion

    A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surface.

    Select all that apply

    JEE Advanced

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  • MCQmediumRotational Motion

    A heavy seesaw (i.e., not massless) is out of balance. A light girl sits on the end that is tilted downward, and a heavy body sits on the other side so that the seesaw now balances. If they both move forward so that they are one-half their original distance from the pivot point (the fulcrum) what will happen to the seesaw?

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    JEE Mains

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  • NumericmediumRotational Motion

    A particle of mass 100 g is projected at time t = 0 with a speed 20 m s⁻¹ at an angle 45° to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time t = 2 s is found to be √K kg m² s⁻¹. The value of K is ________. [Take g = 10 m s⁻²]

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    JEE Mains29 January 2023Shift 2Evening Shift

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  • NumericmediumRotational Motion

    A body of mass 'm' is projected with a speed ‘u’ making an angle of 45° with the ground. The angular momentum of the body about the point of projection, at the highest point is expressed as √2 μ\mu³/(Xg). The value of 'X' is_______.

    JEE Mains 2024 31 Jan Evening Shift

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  • MCQmediumRotational Motion

    Two identical discs each of mass M(= 4m) and radius R are rotating in opposite sense with equal angular speed ω₀ about vertical axes passing through their centres, (as shown in figure). A person of mass m sitting on circumference of disc A jumps with a tangential relative velocity u (after jumping) w.r.t one rotating disc

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    JEE MainsNEET

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  • MCQmediumRotational Motion

    A particle of mass m projected with a velocity ‘u’ making an angle of 30º with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is :

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    JEE Mains 2024 30 Jan Morning Shift

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  • MCQmediumRotational Motion

    Two cars A and B each of mass 10³ kg are moving on parallel tracks separated by a distance of 10 m, in same direction with speeds 72 km/h and 36 km/h. The magnitude of angular momentum of car A with respect to car B is ___ J.s.

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    JEE Mains 202621 January Evening Shift

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  • ParagraphmediumRotational Motion

    A spring of natural length ℓ₀ lies on a smooth table with one end fixed and the other attached to a particle of mass m. The particle is given speed v₀ perpendicular to the spring. The maximum extension is Δℓ = ℓ₀/10. Given m = 0.1 kg, ℓ₀ = 1 m and v₀ = 11 m/s. (continued)

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    Sub-question 1

    The value of the spring constant k (in N/m) is:

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    JEE Advanced

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