Question

A rigid body can be hinged about any point on the x-axis. When it is hinged such that the hinge is at `x`, the moment of interia is given by
`I = 2 x^(2) - 12 x + 27`
The x-coordinate of centre of mass is.
A. `x = 2`
B. `x = 0`
C. `x = 1`
D. `x = 3`

Answer 1

Correct Answer - D
`I = 2x^(2) - 12 x + 27`
moment of inertai about `C.M` is minimum.
so, `(dI)/(dx) = 0`
`4 x - 12 =0`
`x = 3`.