1)

Asquare 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 


A) $\frac{5ml^{2}}{3}$

B) $\frac{2ml^{2}}{3}$

C) $\frac{4ml^{2}}{3}$

D) $\frac{ml^{2}}{12}$

Answer:

Option A

Explanation:

In the given figure,

 $l=l_{AB}+l_{BC}+l_{CD}+l_{DA}=0+\frac{ml^{2}}{3}+ml^{2}+\frac{ml^{2}}{3}$

 

   1562021280_c1.PNG

or  $l=\frac{5ml^{2}}{3}$