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Rotational Motion question

2021 · Shift 1 · Q56
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  5. /2021 · Shift 1 · Q56

Rotational Motion question

2021 · Shift 1 · Q56

JEE AdvancedPhysicsRotational MotionNumerical+4 / −1
A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through point O. A thin circular disc of mass M and of radius a/4 is pivoted on this rod with its center at a distance a/4 from the free end so that it can rotate freely about its vertical axis, as shown in the figure. Assume that both the rod and the disc have uniform density and they remain horizontal during the motion. An outside stationary observer finds the rod rotating with an angular velocity Ω\OmegaΩ and the disc rotating about its vertical axis with angular velocity 4 Ω\OmegaΩ. The total angular momentum of the system about the point O is (Ma2Ω48)n\left( {{{M{a^2}\Omega } \over {48}}} \right)n(48Ma2Ω​)n. The value of n is ‾\underline{\hspace{2cm}}​. JEE Advanced 2021 Paper 1 Online Physics - Rotational Motion Question 39 English
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