Question

A square frame ABCD is formed by four identical rods each of mass 'm' and length 'ℓ'. This frame is in X-Y plane such that side AB coincides with X-axis and side AD along Y-axis. The moment of inertia of the frame about X-axis is ______.

विकल्प

• `(5"ml"^2)/3`

• `(2"ml"^2)/3`

• `(4"ml"^2)/3`

• `"ml"^2/12`

Answer 1

A square frame ABCD is formed by four identical rods each of mass 'm' and length 'ℓ'. This frame is in X-Y plane such that side AB coincides with X-axis and side AD along Y-axis. The moment of inertia of the frame about X-axis is `underlinebb((5"ml"^2)/3)`

Explanation:

Moment of inertia of the frame about X-axis. 

`"ml"^2/3+"ml"^2/3+"ml"^2`

I = `5/3` ml²