question_answer

Two -spheres (A and B) each of mass 5 kg are connected by a light rod of length 1 m. Treating spheres as point. The ratio of moment of inertias about X axis perpendicular to length of rod and passing through centre of A and centre of rod is:

A)  1 : 1                      

B)                         4 : 1      

C)         1 : 2                      

D)                         2 : 1

Correct Answer: B

Solution :

                M.I. about \[C=\frac{2}{5}m{{R}^{2}}\] M.I, about \[A=4\left( \frac{2}{5}m{{R}^{2}} \right)\] \[{{I}_{A}}:{{I}_{C}}=4:1\]