A T-joint is formed by two identical rods A and B each of mass m and length L in the XY plane as shown. Its moment of inertia about the axis coinciding with A is

Options

A. `(2mL^2)/(3)`
B. `(mL^2)/(12)`
C. `(mL^2)/(6)`
D. none of these

Answer

B

Explanation

Moment of inertia of the system about rod A
`I = I_(A) + I_(B)`
`= 0 + (mL^2)/(12) = (mL^2)/(12)`