Same chapter3 marksDifficulty: Medium
Find the moment of inertia of a thin uniform rod of mass M and length L about an axis through its centre and perpendicular to it, and about one end.
Motion of System of Particles and Rigid Body
3 marksDifficulty: Medium
State the theorems of parallel and perpendicular axes.
Original Khojo Papers practice question — not from a past board paper.
Answer
The parallel axis theorem states that the moment of inertia about any axis equals that about a parallel axis through the centre of mass plus Md2, where d is the distance between the axes. The perpendicular axis theorem, which applies to a plane lamina, states that the moment of inertia about an axis perpendicular to its plane equals the sum of the moments about two perpendicular axes in the plane meeting the first.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The perpendicular axis theorem holds only for a plane lamina.
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