1. Tardigrade
  2. Question
  3. Physics
  4. The moment of inertia of a straight thin rod of mass M and length L about an axis perpendicular to its length and passing through its one end, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The moment of inertia of a straight thin rod of mass $M$ and length $L$ about an axis perpendicular to its length and passing through its one end, is

Rajasthan PETRajasthan PET 2004

Solution:

From theorem of parallel axis
$ {{I}_{A}}={{I}_{C}}+M{{\left( \frac{L}{2} \right)}^{2}} $
$ =\frac{M{{L}^{2}}}{12}+\frac{M{{L}^{2}}}{4} $
$ {{I}_{A}}=\frac{M{{L}^{2}}}{3} $

Solution Image