Moment of Inertia

Anilbhusal
Posts: 1
Joined: Thu Feb 01, 2018 10:48 am

Moment of Inertia

Postby Anilbhusal » Thu Feb 01, 2018 10:56 am

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 :?:

Ilikepulsars
Posts: 2
Joined: Fri Nov 24, 2017 2:14 pm

Re: Moment of Inertia

Postby Ilikepulsars » Thu Feb 01, 2018 10:06 pm

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




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