Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

System of Particle and Rotational Motion

Question:

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90°. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is : 

Options:

\(\frac{\sqrt{2}ML^2}{24}\)

\(\frac{ML^2}{24}\)

\(\frac{ML^2}{12}\)

\(\frac{ML^2}{6}\)

Correct Answer:

\(\frac{ML^2}{12}\)

Explanation:

Distribution of masses about axis of rotation remain unchanged whether it is straight or bend. 

I = \(\frac{ML^2}{12}\)