One end of a thin uniform rod of length L and mass `M_(1)` is rivetted to the centre of a uniform circular disc of radius 'r' and mass `M_(2)` so that that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin).

Options

A. `(L(M_(1)+M_(2)))/(2M_(1))`
B. `(LM_(1))/(2(M_(1)+M_(2)))`
C. `(2(M_(1)+M_(2)))/(LM_(1))`
D. `(2LM_(1))/((M_(1)+M_(2)))`

Answer

B