JEE Main 2012 — Rotational Motion Question with Solution
JEE Main 2012 (07 May Online)
Question
A circular hole of diameter is cut from a disc of mass and radius ; the circumference of the cut passes through the centre of the disc. The moment of inertia of the remaining portion of the disc about an axis perpendicular to the disc and passing through its centre is
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Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
M.I. of complete disc about its centre .
Mass of circular hole (removed) M.I. of removed hole about its own axis M.I. of removed hole about M.I. of complete disc can also be written as From eq. (i) and (ii),
Mass of circular hole (removed) M.I. of removed hole about its own axis M.I. of removed hole about M.I. of complete disc can also be written as From eq. (i) and (ii),
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This is a previous-year question from JEE Main 2012, covering the Rotational Motion 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.