JEE Physics

Moment of Inertia & Radius of Gyration: JEE Questions & Solutions

32 previous-year JEE Physics questions on Moment of Inertia & Radius of Gyration, each with a worked step-by-step solution.

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Previous-year questions

  1. 01Two identical thin rods of mass M kg and length L m are connected as shown in figure. Moment of inertia of the combined rod system about an…NVAEasyJEE 2026
  2. 02The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of the rim. The rim and each rod have a mass…MCQMediumJEE 2026
  3. 03A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm. The moment of…MCQEasyJEE 2026
  4. 04A circular disc has radius R₁ and thickness T₁. Another circular disc made of the same material has radius R₂ and thickness T₂. If the…NVAEasyJEE 2026
  5. 05A uniform bar of length 12 cm and mass 20m lies on a smooth horizontal table. Two point masses m and 2m are moving in opposite directions…MCQMediumJEE 2026
  6. 06The moment of inertia of a square loop made of four uniform solid cylinders, each having radius R and length L (R < L) about an axis…MCQMediumJEE 2026
  7. 07Two 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…MCQEasyJEE 2026
  8. 08Suppose there is a uniform circular disc of mass M kg and radius r m shown in figure. The shaded regions are cut out from the disc. The…NVAMediumJEE 2026
  9. 09Two masses 400 g and 350 g are suspended from the ends of a light string passing over a heavy pulley of radius 2 cm. When released from…MCQMediumJEE 2026
  10. 10A uniform solid cylinder of length L and radius R has moment of inertia about its axis equal to I₁. A small co-centric cylinder of length…NVAEasyJEE 2026
  11. 11A solid sphere of radius 10 cm is rotating about an axis which is at a distance 15 cm from its centre. The radius of gyration about this…NVAEasyJEE 2026
  12. 12A uniform circular disc of radius R and mass M is rotating about an axis perpendicular to its plane and passing through its center. A small…MCQMediumJEE 2025
  13. 13The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of inertia of a ring rotating in a…NVAEasyJEE 2025
  14. 14Two iron solid discs of negligible thickness have radii R₁ and R₂ and moment of inertia I₁ and I₂, respectively. For R₂ = 2R₁, the ratio of…NVAEasyJEE 2025
  15. 15A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of the wheel is 10 kg and…MCQEasyJEE 2025
  16. 16Moment of inertia of a rod of mass M and length L about an axis passing through its center and normal to its length is α. Now the rod is…MCQEasyJEE 2025
  17. 17A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by a force of 10 N as shown in…NVAEasyJEE 2025
  18. 18A solid sphere with uniform density and radius R is rotating initially with constant angular velocity (ω₁) about its diameter. After some…NVAMediumJEE 2025
  19. 19A, B and C are disc, solid sphere and spherical shell respectively with the same radii and masses. These masses are placed as shown in the…NVAMediumJEE 2025
  20. 20M and R be the mass and radius of a disc. A small disc of radius R/3 is removed from the bigger disc, the removed disc touching the rim of…NVAMediumJEE 2025
  21. 21A rod of linear mass density λ and length L is bent to form a ring of radius R. Moment of inertia of the ring about any of its diameter is:MCQEasyJEE 2025
  22. 22A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm. By applying an external torque of 25π Nm for 40 s,…NVAEasyJEE 2025
  23. 23A solid sphere A is rotating about an axis PQ, where PQ is parallel to a diameter of the sphere and lies at a perpendicular distance of 10…NVAEasyJEE 2023
  24. 24A uniform solid cylinder with radius R and length L has moment of inertia I₁, about the axis of the cylinder. A concentric solid cylinder…NVAEasyJEE 2023
  25. 25A thin uniform rod of length 2 m, cross-sectional area A and density d is rotated about an axis passing through the centre and…NVAMediumJEE 2023
  26. 26Two discs of the same mass and different radii are made of different materials such that their thicknesses are 1 cm and 0.5 cm…NVAMediumJEE 2023
  27. 27A ring and a solid sphere rotating about an axis passing through their centers have the same radii of gyration. The axis of rotation is…NVAEasyJEE 2023
  28. 28The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of the ring, is…NVAEasyJEE 2023
  29. 29If the Earth suddenly shrinks to 1/64th of its original volume with its mass remaining the same, the period of rotation of the Earth…NVAEasyJEE 2023
  30. 30A circular plate is rotating horizontal plane, about an axis passing through its center perpendicular to the plate, with an angular…NVAEasyJEE 2023
  31. 31A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The angular…NVAEasyJEE 2023
  32. 32A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radii…NVAEasyJEE 2023

Frequently asked questions

Our bank has 32 previous-year JEE Physics questions tagged to Moment of Inertia & Radius of Gyration, drawn from JEE papers between 2023 and 2026, including 11 from 2026 alone. Each comes with a full step-by-step solution.

Moment of Inertia & Radius of Gyration is rated Advanced overall for JEE Physics. The PYQs on this page break down as 21 easy, 11 medium.

Of the 32 previous-year questions on Moment of Inertia & Radius of Gyration, 10 are multiple-choice (MCQ) and 22 are numerical-value (NVA) questions.

Based on recent paper analysis, Moment of Inertia & Radius of Gyration is worth about 2 marks in JEE Main. It sits in Rotational Motion, a Class 11 Physics chapter.

More Rotational Motion topics

Rolling Motion & Rotational Kinematics16Torque & Angular Momentum14Theorems of M.I (Parallel & Perpendicular Axis)8Centre of Mass5Equilibrium of Rigid Bodies5

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