JEE Main 2026 — Rotational Motion Question with Solution
JEE Main 2026 (23 January Shift 1)
Question
The moment of inertia of a square loop made of four uniform solid cylinders, each having radius and length about an axis passing through the mid points of opposite sides, is (Take the mass of the entire loop as ) :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Each cylinder has mass , radius , length .
Axis through midpoints of top and bottom sides (along y-direction).
Top/bottom cylinders (perpendicular to axis, axis through midpoint):
each.
Left/right cylinders (parallel to axis, distance from it):
each.
Total
.
Axis through midpoints of top and bottom sides (along y-direction).
Top/bottom cylinders (perpendicular to axis, axis through midpoint):
each.
Left/right cylinders (parallel to axis, distance from it):
each.
Total
.
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This is a previous-year question from JEE Main 2026, 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.