The S-shaped unifrom wire shown in figure has a mass M, and the radius of curvature of each half is R. The moment of inertia about an axis through A and perpendicular to the plane of the paper is:

Options

A. `(3)/(4) MR^(2)`
B. `MR^(2)`
C. `(3)/(2) MR^(2)`
D. `2 MR^(2)`

Answer

D

Explanation

In the plane

Required `I = I_(1) + I_(2)`
`:. I_(1) = (MR^(2))/(2)` & `I_(2) = (MR^(2))/(2) + MR^(2)`
`:. I = 2 MR^(2)`