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Angular Momentum for JEE: 55 solved questions

Real JEE paper questions on angular momentum, part of rotational motion. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

Conservation of angular momentum — 27 questions
Angular momentum of a particle — 25 questions
Angular momentum of a rigid body — 3 questions

All 55 questions with solutions

The time dependence of the position of a particle of mass m=2 is given by ⃗r(t)=2t̂i-3t²̂j. Its angular momen… JEE Main 10th April 2nd Shift 2019
Two cars A and B, each of mass 10³ kg, move on parallel tracks 10 m apart, in the same direction with speeds… JEE Main 21st Jan 2nd Shift 2026
An object of mass m is projected from the origin in a vertical plane at 45° to the horizontal with initial sp… JEE Main 24th Jan 1st Shift 2025
A particle of mass m is projected with velocity u at 30° to the horizontal. The magnitude of the angular mome… JEE Main 30th Jan 1st Shift 2024
Two small balls of masses m and 2m are attached to the ends of a rigid rod of length d and negligible mass. I… JEE Main 23rd Jan 1st Shift 2026
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and… AIEEE 2003
Two coaxial discs, having moments of inertia I₁ and (I₁)/2, rotate about their common axis with angular speed… JEE Main 10th April 1st Shift 2019
A thin disc of mass M and radius R rotates in a horizontal plane about its central perpendicular axis at ω. A… JEE Main 8th April 2nd Shift 2024
A thin ring of mass M and radius R rotates at constant ω in a horizontal plane about a vertical axis through… AIEEE 2006
A thin smooth rod of length L and mass M rotates freely at ω₀ about a perpendicular axis through its centre.… JEE Main 9th April 2nd Shift 2019
A uniform rod of mass M=4m and length l is pivoted at its centre. A mass m moving with velocity v at θ=π/4 to… JEE Main 8th Jan 1st Shift 2020
A uniform bar of length L and mass 8m lies on a smooth horizontal table. Two point masses m and 2m move in th… JEE Main Online 2018
A thin horizontal disc rotates about a vertical axis through its centre. An insect, at rest near the rim, wal… AIEEE 2011
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping its mass the same,… AIEEE 2004
When the position vector ⃗r=x̂i+ŷj+ẑk changes sign to -⃗r, which one of the following vectors will not flip… JEE Main 28th Jan 2nd Shift 2026
Four point masses, each of mass m, are fixed at the corners of a square of side l. The square rotates with an… JEE Main 6th Sept 1st Shift 2020
Angular momentum of a particle rotating under a central force is constant due to AIEEE 2007
A person of mass 80 kg stands on the rim of a circular platform of mass 200 kg rotating at 5 rpm about its ax… JEE Main 3rd Sept 1st Shift 2020
The position of an object having mass 0.1 kg as a function of time t is given as ⃗r=(10t²̂i+5t³̂j) m. At t=1… JEE Main 2nd April 1st Shift 2026
A uniform bar of length 12 cm and mass 20m lies on a smooth horizontal table. Two point masses m and 2m are m… JEE Main 22nd Jan 2nd Shift 2026
If ⃗L and ⃗P represent the angular momentum and linear momentum respectively of a particle of mass m having p… JEE Main 4th April 1st Shift 2025
A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rad s⁻¹ in a horiz… JEE Main 26th June 1st Shift 2022
Two discs have moments of inertia I₁ and I₂ about their respective axes perpendicular to the plane and passin… JEE Main 27th Aug 2nd Shift 2021
Angular momentum of a single particle moving with constant speed along a circular path JEE Main 31st Aug 1st Shift 2021
A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves… JEE Main 17th March 1st Shift 2021
A particle of mass 20 g is released with an initial velocity 5 m/s along a frictionless curve from the point… JEE Main 12th Jan 2nd Shift 2019
A cubical block of side 30 cm is moving with velocity 2 m s⁻¹ on a smooth horizontal surface. The surface has… JEE Main Online 2016
A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The hei… JEE Main Online 2015
A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob… JEE Main 2014
A particle is moving in a circular path of radius a with a constant velocity v. The centre of the circle is m… JEE Main Online 2014
A stone of mass m, tied to the end of a string, is whirled around in a circle on a horizontal frictionless ta… JEE Main Online 2012
A small particle of mass m is projected at an angle θ with the x-axis with an initial velocity v₀ in the x-y… JEE Main 2010
A particle of mass m moves along the line PC with velocity v, where P is a fixed point on that line. What is… JEE Main 2002
The initial angular velocity of a circular disc of mass M is ω₁. Then two small spheres of mass m are attache… JEE Main 2002
A solid sphere with uniform density and radius R is rotating initially with constant angular velocity ω₁ abou… JEE Main 4th April 2nd Shift 2025
The position vectors of two 1 kg particles, (A) and (B), are given by ⃗r_A=(α₁t²̂i+α₂t̂j+α₃t̂k) m and ⃗r_B=(β… JEE Main 22nd Jan 2nd Shift 2025
If the radius of the earth is reduced to three-fourths of its present value without change in its mass, then… JEE Main 6th April 1st Shift 2024
A body of mass 5 kg moving with a uniform speed 3√2 m s⁻¹ in the X-Y plane along the line y=x+4. The angular… JEE Main 29th Jan 2nd Shift 2024
Consider a disc of mass 5 kg and radius 2 m, rotating with an angular velocity of 10 rad/s about an axis perp… JEE Main 30th Jan 1st Shift 2024
Two discs of moment of inertia I₁=4 kg m² and I₂=2 kg m², about their central axes and normal to their planes… JEE Main 30th Jan 2nd Shift 2024
A body of mass m is projected with a speed u making an angle of 45° with the ground. The angular momentum of… JEE Main 31st Jan 2nd Shift 2024
If the earth suddenly shrinks to 1/(64)th of its original volume with its mass remaining the same, the period… JEE Main 10th April 1st Shift 2023
A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameters with an angular speed of 1… JEE Main 11th April 1st Shift 2023
A circular plate is rotating in a horizontal plane, about an axis passing through its centre and perpendicula… JEE Main 11th April 2nd Shift 2023
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. Th… JEE Main 29th Jan 2nd Shift 2023
The position vector of a 1 kg object is ⃗r=(3̂i-̂j) m and its velocity ⃗v=(3̂j+̂k) m s⁻¹. The magnitude of it… JEE Main 28th June 1st Shift 2022
A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass m travelling a… JEE Main 20th July 1st Shift 2021
A particle of mass m is moving in time t on a trajectory given by ⃗r=10α t²̂i+5β(t-5)̂j, where α and β are di… JEE Main 25th July 1st Shift 2021
Two wheels P and Q are connected by a belt B. The radius of P is three times that of Q. In case of same rotat… JEE Main 27th July 2nd Shift 2021
A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it can freely oscillate… JEE Main 5th Sept 2nd Shift 2020
A spherical shell of 1 kg mass and radius R is rolling with angular speed ω on a horizontal plane. The magnit… JEE Main 29th June 1st Shift 2022
Two uniform circular discs are rotating independently in the same direction around their common axis passing… JEE Main 2nd Sept 2nd Shift 2020
A wheel is rotating freely with an angular speed ω on a shaft. The moment of inertia of the wheel is I and th… JEE Main 5th Sept 1st Shift 2020
A circular disc of mass M and radius R is rotating about its axis with angular speed ω₁. If another stationar… JEE Main 4th Sept 1st Shift 2020
A particle of mass m is moving along the side of a square of side a, with a uniform speed v in the x-y plane… JEE Main 2016

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