Free physics question bank
moment of inertia and kinetic energy in pure rotation 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 22 questions
- MCQmediumRotational Motion
A circular ring has mass M and diameter r. Its moment of inertia about a tangential axis lying in the plane of the ring is:
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JEE Mains 2025 2 April Evening Shift
Open question & full solution → - MCQmediumRotational Motion
From a uniform solid sphere of mass M and radius R, a concentric spherical cavity of radius R/2 is created. Find the moment of inertia about an axis passing through the common centre.
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JEE Main 2025 (Online) 22 jan morning Shift
Open question & full solution → - NumericmediumRotational Motion
A uniform solid cylinder with radius R and length L has moment of inertia I₁, about the axis of cylinder. A concentric solid cylinder of radius R' = R/2 and length L' = L/2 is caned out of the original cylinder. If I₂ is the moment of inertia of the carved out portion of the cylinder then I₁/I₂ = __________ (Both I₁ and I₂ are about the axis of the cylinder)
JEE Mains24 January 2023Shift 2Evening Shift
Open question & full solution → - IntegermediumRotational Motion
Three bodies A, B and C are respectively a disc, a solid sphere and a spherical shell, all of the same mass M and radius R, arranged as shown in the original figure. The moment of inertia of the complete system about axis PQ is (x/15)I, where I = MR²/4 is the moment of inertia of the disc about a diameter. Find x
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JEE Mains 2025 7 April Morning Shift
Open question & full solution → - MCQeasyRotational Motion
A uniform rod of linear mass density λ and length L is bent into a circular ring. The moment of inertia of the ring about any diameter is:
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JEE Mains 2025 8 April Evening Shift (Shift 2)
Open question & full solution → - NumericmediumRotational Motion
Four particles each of mass 1 kg are placed at four corners of a square of side 2 m. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is _____ kgm².
JEE Mains 2024
Open question & full solution → - NumericmediumRotational Motion
A circular disc has radius R₁ and thickness T₁. Another circular disc made of the same material has radius R₂ and thickness T₂. If the moment of inertia of both discs are same and R₁/R₂ = 2 then T₁/T₂ = 1/α. The value of α is ____.
JEE Mains 202622 January Morning Shift
Open question & full solution → - MCQmediumRotational Motion
Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of inertia about their diameter axis AB as shown in figure is √(8/x). The value of x is:
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JEE Mains 2024 05 Apr Morning Shift
Open question & full solution → - IntegermediumRotational Motion
A 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 axis is √n cm. The value of n is ________.
JEE Mains 202628 January Morning Shift
Open question & full solution → - IntegermediumRotational Motion
A uniform rod of mass 40 kg and length 3 m has moment of inertia about an axis AB passing through one end and perpendicular to the rod. A solid sphere of mass 10 kg and radius R has the same moment of inertia about an axis parallel to AB and located 3 m from the sphere's centre, as shown in the source figure. If R = √(α ÷ 2) m, find α.
JEE Mains 2026 2 April Evening Shift
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