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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.
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- NumericmediumRotational Motion
Two discs of same mass and different radii are made of different materials such that their thicknesses are 1 cm and 0.5 cm respectively. The densities of materials are in ratio 3:5. The moments of inertia of these discs about their diameters are in the ratio x/6. The value of x is ______.
JEE Mains31 January 2023Shift 2Evening Shift
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A 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 inertia of this pair of spheres about the tangent passing through the point of contact is_________kg.m².
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JEE Mains 202622 January Morning Shift
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Mass per unit area of a circular disc of radius a depends on the distance r from its centre as σ (r) = A + Br. The moment of inertia of the disc about the axis, perpendicular to the plane and passing through its centre is:
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JEE Mains 2020
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A disc of mass M and radius R has a circular hole of diameter R cut out with its rim passing through the original disc centre. What remains of its moment of inertia about the original centre-normal axis?
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NEET Phase-I 2016
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Find the ratio of radii of gyration about a diameter for a solid sphere and a thin hollow sphere of equal mass and radius.
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NEET 2023 (Mod.)
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Four identical uniform rods, each mass M and length ℓ, form a square frame. Find its moment of inertia through the square centre perpendicular to its plane.
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AIPMT Screening 2009NEET
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A semicircular lamina of mass m has radius r and centre C. Its moment of inertia about an axis through its centre of mass and perpendicular to its plane is-
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JEE MainsNEET
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An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid-points of its sides as shown and G is the centre of the triangle. The moment of inertia of the triangle about an axis passing through G and perpendicular to the plane of the triangle is I₀. If the smaller triangle DEF is removed from ABC, the moment of inertia of the remaining figure about the same axis is I. Then:
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JEE Mains 2019
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A thin uniform rod of mass M and length L has its moment of inertia I₁ about its perpendicular bisector. The rod is bend in the form of a semi-circular arc. Now its moment of inertia through the centre of the semi-circular arc and perpendicular to its plane is I₂. The ratio of I₁: I₂ will be:
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JEE MainsNEET
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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
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