Rotational Motion — JEE Main PYQs & Practice Questions

Rotational Motion is a Physics chapter in the JEE Main syllabus. This page brings together 184 previous-year and practice questions on Rotational Motion, organised into 6 topics: Moment of Inertia, Torque and Angular Momentum, Rolling Motion, Conservation of Angular Momentum, Parallel and Perpendicular Axis Theorems and Angular Impulse. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Download Rotational Motion JEE Main PYQs as a free PDF (with answer key)

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Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Moment of Inertia

• A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the…
• In the given figure, two wheels P and Q are connected by a belt B. The radius of P is…
• Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then…
• List-I | List-II; (a) MI of the rod (length L, Mass M, about an axis ⊥ to the rod…
• Two identical thin rods of mass M kg and length L m are connected as shown in figure…
• The figure shows two solid discs with radius R and r respectively. If mass per unit area…
• Suppose there is a uniform circular disc of mass M kg and radius r m shown in figure…
• A thin uniform rod (X) of mass M and length L is pivoted at a height (L/3) as shown in…
• A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral…
• Mass per unit area of a circular disc of radius a depends on the distance r from its…
• M and R be the mass and radius of a disc. A small disc of radius R / 3 is removed from…
• Two iron solid discs of negligible thickness have radii R₁ and R₂ and moment of intertia…
• A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with…
• Four identical discs each of mass 'M' and diameter 'a' are arranged in a small plane as…
• The moment of inertia of a square loop made of four uniform solid cylinders, each having…
• Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M…
• The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher…
• A, B and C are disc, solid sphere and spherical shell respectively with same radii and…
• A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal…
• A ring and a solid sphere rotating about an axis passing through their centers have same…

Torque and Angular Momentum

• One end of a straight uniform 1m long bar is pivoted on horizontal table. It is released…
• An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and…
• A force F⃗ = ( î + 2ĵ + 3k̂ ) N acts at a point ( 4î + 3ĵ - k̂ ) m. Then the magnitude…
• A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm…
• A particle of mass 'm' is moving in time 't' on a trajectory given by r⃗ = 10α t²î + 5β…
• A triangular plate is shown. A force F⃗ = 4î - 3ĵ is applied at point P. The torque at…
• A heavy iron bar, of weight W is having its one end on the ground and the other on the…
• The angular momentum of a particle of mass m moving with velocity v at perpendicular…
• A particle of mass 100 g is projected at time t = 0 with a speed 20 ms⁻¹ at an angle 45°…
• A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped…
• A body of mass 5 kg moving with a uniform speed 3 √2 ms⁻¹ in X-Y plane along the line…
• A body of mass 'm' is projected with a speed 'u' making an angle of 45° with the ground…
• Which of the following are correct expression for torque acting on a body? A. τ⃗=r⃗ × L⃗…
• A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal…
• A mass M hangs on a massless rod of length l which rotates at a constant angular…
• A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope…
• The position vector of 1 kg object is r⃗ = ( 3î - ĵ )m and its velocity v⃗ = ( 3ĵ + k̂…
• Two small balls with masses m and 2 m are attached to both ends of a rigid rod of length…
• A force of 10 N is applied tangentially at a point 0.5 m from the axis of a wheel. The…
• A force F⃗ = 4î + 3ĵ + 4k̂ is applied on an intersection point of x = 2 plane and…

Rolling Motion

• A uniform disc of mass 0.5 kg and radius r is projected with velocity 18 m / s at t=0 s…
• A solid cylinder length is suspended symmetrically through two massless strings, as…
• A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it…
• A solid sphere of mass ' m ' and radius ' r ' is allowed to roll without slipping from…
• A solid sphere of mass 1 kg rolls without slipping on a plane surface. Its kinetic…
• In pure rolling motion, the point of contact of the body with the surface has zero…
• A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg…
• Two masses m and 2 m are connected by a light string going over a pulley (disc) of mass…
• A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic…
• A solid sphere is rolling on a horizontal plane without slipping. If the ratio of…
• A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms⁻¹ goes…
• Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on…
• For pure rolling without slipping of a wheel of radius R:
• A solid sphere and a hollow sphere of the same mass and of same radius are rolled on an…
• A cylinder is rolling down on an inclined plane of inclination 60°. It's acceleration…
• A solid cylinder is released from rest from the top of an inclined plane of inclination…
• A body rolls down an inclined plane without slipping. The kinetic energy of rotation is…
• The following bodies, (1) a ring (2) a disc (3) a solid cylinder (4) a solid sphere, of…
• A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with…
• A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of…

Conservation of Angular Momentum

• A thin circular disc of mass M and radius R is rotating in a horizontal plane about an…
• Consider a uniform rod of mass M = 4m and length ℓ pivoted about its centre. A mass m…
• A skater has moment of inertia 5 kg·m² spinning at 4 rad/s. She pulls her arms in…
• A circular plate is rotating in horizontal plane, about an axis passing through its…
• A thin circular ring of mass M and radius r is rotating about its axis with an angular…
• A wheel is rotating freely with an angular speed ω on a shaft. The moment of inertia of…
• A rod of mass M and length L is lying on a horizontal frictionless surface. A particle…
• If the radius of earth is reduced to three-fourth of its present value without change in…
• A solid sphere with uniform density and radius R is rotating initially with constant…
• Consider a Disc of mass 5 kg, radius 2 m, rotating with angular velocity of 10 rad / s…
• Two discs of moment of inertia I₁=4 kg m² and I₂=2 kg m², about their central axes…
• Two discs have moments of inertia I₁ and I₂ about their respective axes perpendicular to…
• Two uniform circular discs are rotating independently in the same direction around their…
• The position of an object having mass 0.1 kg as a function of time t is given as…
• An ice skater rotating with arms extended pulls them in. Her moment of inertia…
• Three equal masses m are kept at vertices (A, B, C) of an equilateral triangle of side a…
• A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal…
• A thin circular ring of mass M and radius R is rotating with a constant angular velocity…
• A circular disc of mass M and radius R is rotating about its axis with angular speed ω ₁…
• If the earth suddenly shrinks to 1/64th of its original volume with its mass remaining…

Parallel and Perpendicular Axis Theorems

• I_(CM) is the moment of inertia of a circular disc about an axis (CM) passing through…
• The radius of gyration of a uniform rod of length l, about an axis passing through a…
• For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia…
• The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the…
• Moment of inertia of a disc of mass 'M' and radius 'R' about any of its diameter is (M…
• Three solid spheres each of mass m and diameter d are stuck together such that the lines…

Angular Impulse

• A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it…
• A uniform rod A B of mass 2 kg and length 30 cm at rest on a smooth horizontal surface…

More Physics chapters

• Basic Mathematics for Physics
• Units, Dimensions & Errors
• Rectilinear Motion
• Vectors
• Projectile Motion & Relative Motion
• Newton's Laws of Motion
• Friction
• Circular Motion
• Work, Energy & Power
• Centre of Mass & Linear Momentum
• Collision
• Gravitation
• Simple Harmonic Motion
• Elasticity
• Fluid Mechanics
• Surface Tension
• Thermometry & Calorimetry
• Kinetic Theory of Gases
• Thermodynamics
• Heat Transfer
• Mechanical Waves
• Sound Waves
• Experimental Skills
• Electrostatics I — Charges, Field & Gauss's Law
• Electrostatics II — Potential & Capacitance
• Current Electricity
• Moving Charges & Magnetism
• Magnetism & Matter
• Electromagnetic Induction
• Alternating Current
• Electromagnetic Waves
• Ray Optics
• Wave Optics
• Dual Nature of Radiation & Matter
• Atomic Physics
• Nuclear Physics
• Semiconductors & Electronic Devices
• Communication Systems

Frequently asked questions

How many Rotational Motion questions are there for JEE Main?

PrepWiser has 184 Rotational Motion questions for JEE Main, grouped into 6 topics such as Moment of Inertia, Torque and Angular Momentum and Rolling Motion.

Are these Rotational Motion questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Rotational Motion questions?

Open any Rotational Motion question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.