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A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A massless string is wrapped over…

JEE Main 2020 — Physics Mechanics

2020mcqmedium

A uniformly thick wheel with moment of inertia III and radius RRR is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses m1{m}_{1}m1​ and m2(m1>m2){m}_{2}({m}_{1}>{m}_{2})m2​(m1​>m2​) are attached to the ends of the string. The system Is released from rest. The angular speed of the wheel when m1{m}_{1}m1​ descends by a distance hhh is:

JEE Main 2020 Physics, Rotational Motion — question figure

Official previous-year question

Held on 9 Jan 2020 · Verified 6 Jul 2026.

Options

  1. A

    [2(m1−m2)gh(m1+m2)R2+I]12{[\frac{2({m}_{1}-{m}_{2})gh}{({m}_{1}+{m}_{2}){R}^{2}+I}]}^{\frac{1}{2}}[(m1​+m2​)R2+I2(m1​−m2​)gh​]21​

  2. B

    [2(m1+m2)gh(m1+m2)R2+I]12{[\frac{2({m}_{1}+{m}_{2})gh}{({m}_{1}+{m}_{2}){R}^{2}+I}]}^{\frac{1}{2}}[(m1​+m2​)R2+I2(m1​+m2​)gh​]21​

  3. C

    [(m1−m2)(m1+m2)R2+1]12gh{[\frac{({m}_{1}-{m}_{2})}{({m}_{1}+{m}_{2}){R}^{2}+1}]}^{\frac{1}{2}}gh[(m1​+m2​)R2+1(m1​−m2​)​]21​gh

  4. D

    [m1+m2(m1+m2)R2+I]12gh{[\frac{{m}_{1}+{m}_{2}}{({m}_{1}+{m}_{2}){R}^{2}+I}]}^{\frac{1}{2}}gh[(m1​+m2​)R2+Im1​+m2​​]21​gh

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