Mechanical Engineering - Engineering Mechanics - Discussion

Thanks, @Mehul.

Here the second one is for circular and ellipse shapes.

Thank you @Mehul Kathriya.

Thank you @Mehul.

Thank you @Mehul Kathiriya.

Thanks @Mehul.

Calculating Moment of Inertia Using Routh's Rule.

Routh's Rule states that if a body is symmetrically shaped about all its three axes, then the moment of inertia about any of its three axes which passes through the center of gravity of the body can be written as:

I = {A (or M)*S}/ 3 (for bodies square in shape or rectangular lamina),

I = {A (or M)*S}/ 4 (for lamina's having circular or rectangular shapes),

I = {A (or M)*S}/ 5 (for bodies which are spherical in shape).

Where A = Area of the body.

M = Mass of the body,

And S = Sum of the squares of the couple of semi axes, barring the one about which the moment of inertia is being calculated.