Rotational MotionHard

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 inertia is given by I = x2 - 2x + 99. The x-coordinate of centre of mass is : -

Options

A.x = 2
B.x = 0
C.x = 1
D.x = 3

Solution

I = x2 - 2x + 99
MI about axis pass through centre of mass will be minimum when
= 0 ⇒ 2x - 2 = 0 ⇒ x = 1

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