JEE Main 2021PhysicsCenter of Mass Momentum and CollisionMediumMCQ

JEE Main 2021 — Center of Mass Momentum and Collision Question with Solution

JEE Main 2021 (24 Feb Shift 2)

Question

A circular hole of radius a2 is cut out of a circular disc of radius a as shown in figure. The centroid of the remaining circular portion with respect to point O will be:

Choose an option

Show full solutionCorrect option: B
Correct answer
B56a

Step-by-step explanation

Let σ be the uniform mass density of disc then

xCOM=σπa2a-σπa24×3a2σπa2-σπa24

=a-3a81-14=5a6

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About this question

This is a previous-year question from JEE Main 2021, covering the Center of Mass Momentum and Collision chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.