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. (a)`3/4 MR^(2)`
B. (b)`MR^(2)`
C. (c)`3/2 MR^(2)`
D. (d)`2MR^(2)`

Answer

D

Explanation

In the plane Required `I=I_(1)+I_(2)`
`therefore I_(1)=(MR^(2))/(2) and I_(2)=(MR^(2))/(2)+MR^(2)`
`therefore I=2MR^(2)`