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 14 questions
- IntegereasyRotational Motion
A horizontal circular plate rotates with angular speed ω. A person at the centre stretches out two dumbbells, making the system's moment of inertia triple. If initial kinetic energy is E and final kinetic energy is E/x, find x.
JEE Mains11 April 2023Shift 2Evening Shift
Open question & full solution → - 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.
JEE Mains 2024 30 Jan Morning Shift
Open question & full solution → - NumericmediumRotational Motion
Two discs of moment of inertia I₁ = 4 kg m² and I₂ = 2 kg m² about their central axes & normal to their planes, rotating with angular speeds 10 rad/s & 4 rad/s respectively are brought into contact face to face with their axe of rotation coincident. The loss in kinetic energy of the system in the process is_____J.
JEE Mains 2024 30 Jan Evening Shift
Open question & full solution → - NumericmediumRotational Motion
A body of mass 5 kg moving with a uniform speed 3√2 ms⁻¹ in X – Y plane along the line y = x + 4. The angular momentum of the particle about the origin will be ______ kg m²s⁻¹.
JEE Mains 2024 29 Jan Evening Shift
Open question & full solution → - NumericmediumRotational Motion
A uniform solid sphere of radius R rotates about a diameter with angular velocity ω₁. During rotation it loses mass uniformly while remaining a uniform sphere of the same density and shape. When its radius becomes R/2, its angular velocity is xω₁. Find x.
JEE Mains 2025 4 April Evening Shift
Open question & full solution → - MCQmediumRotational Motion
Two small balls with masses m and 2m are attached to both ends of a rigid rod of length d and negligible mass. If angular momentum of this system is L about an axis (A) passing through its centre of mass and perpendicular to the rod then angular velocity of the system about A is :
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JEE Mains 202623 January Morning Shift
Open question & full solution → - IntegermediumRotational Motion
A solid sphere of mass 500 g and radius 5 cm rotates about a diameter with angular speed 10 rad s⁻¹. If its moment of inertia about a tangent is x × 10⁻² times its angular momentum about the diameter, find x.
JEE Mains11 April 2023Shift 1Morning Shift
Open question & full solution → - 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
Open question & full solution → - 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 ³/(Xg). The value of 'X' is_______.
JEE Mains 2024 31 Jan Evening Shift
Open question & full solution → - MCQmediumRotational Motion
A body of mass m is projected with speed v₀ at 45° to the horizontal. Its angular momentum about the point of projection at the highest point is:
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JEE Mains 2025 24 Jan Morning Shift
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