A square frame ABCD is formed by four identical rods each of mass m and length l.
This frame is in
xy-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

Options

A. `(5ml^(2))/(3)`
B. `(2ml^(2))/(3)`
C. `(4ml^(2))/(3)`
D. `(ml^(2))/(12)`

Answer

A

Explanation

In the given figure,
`l=l_(AB)+l_(BC)+l_(CD)+l_(DA)=0+(ml^(2))/(3)+ml^(2)+(ml^(2))/(3)`

`or" "l=(5ml^(2))/(3)`