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A rigid body can be hinged about any poi...

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`

Text Solution

Verified by Experts

The correct Answer is:
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`.
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