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How to prepare for NEET 2025 in 6 months - Tips, Syllabus, Topics

Moment Of Inertia Of A Rod MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Moment of inertia of a Rod is considered one of the most asked concept.

  • 18 Questions around this concept.

Solve by difficulty

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is:

 

Concepts Covered - 1

Moment of inertia of a Rod

Let I=Moment of inertia of a ROD about an axis through its center and perpendicular to it

To calculate I (Moment of inertia of rod)

Consider a uniform straight rod   of length L, mass M and having center C

 mass per unit length of the rod = λ=ML

Take a small element of mass dm with length dx at a distance x from point C.

dm=λdx=MLdxdI=x2dm


Now integrate this dl between the limits x=L2 to L2

I=dI=x2dm=L2L2MLx2dx=MLL2L2x2dx=ML212
 

 

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Moment of inertia of a Rod

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