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Moment of Inertia

Posted: Thu Feb 01, 2018 10:56 am
by Anilbhusal
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 = 2x^2 – 12x + 27
The x-coordinate of centre of mass is :?:

Re: Moment of Inertia

Posted: Thu Feb 01, 2018 10:06 pm
by Ilikepulsars
The moment of inertia is at its minimum about an axis containing the center of mass.

$$\frac{dI}{dx} = 0$$

$$4x - 12 = 0$$

$$x = 3$$