1. Tardigrade
  2. Question
  3. Physics
  4. What is the ratio of moment of inertia of a thin rod about an axis through mid-point and perpendicular to its length and that about an axis through one end and perpendicular to its length?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. What is the ratio of moment of inertia of a thin rod about an axis through mid-point and perpendicular to its length and that about an axis through one end and perpendicular to its length?

CMC MedicalCMC Medical 2015

Solution:

MI of thin rod about an axis passing through mid-point is $ \frac{m{{l}^{2}}}{12}. $ Also, MI of thin rod about an axis passing through one of its end is $ \frac{1}{3}m{{l}^{2}}. $ Now, required ratio $ =\frac{\frac{1}{12}m{{l}^{2}}}{\frac{1}{3}m{{l}^{2}}}=\frac{1}{4} $