question_answer

Four point masses, each of value m, are placed at the comers of square ABCD of side I. The moment of inertia of this system about an axis passing through A and parallel to BD is

A) \[a\]                                     

B) \[\sqrt{a}\]                        

C) \[{{a}^{3/2}}\]                  

D)       \[\frac{q}{2{{\pi }^{2}}{{\varepsilon }_{0}}{{R}^{2}}}\]

Correct Answer: C

Solution :

The situation is shown in figure. \[mg-N=m{{\omega }^{2}}A\] \[A=g/{{\omega }^{2}}\] \[{{I}_{xx}}=m\times D{{P}^{2}}+m\times B{{Q}^{2}}+m\times C{{A}^{2}}\]