A rigid body can be hinged about any point on the \( x \)-axis. Whe...

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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 inertia is given by
\[
I=2 x^{2}-12 x+27
\]
The \( x \)-coordinate of centre of mass is
(1) \( x=2 \)
(2) \( x=0 \)
(3) \( x=1 \)
(4) \( x=3 \)
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