Question

state the mathematical exprecian for perpendicular area​

Answer 1

Answer:

The theorem of the parallel axis is applicable to anybody of arbitrary shape. The moment of inertia (MI) of the body about an axis through the center mass should be known, say, I

CM

. Then , the theorem can be used to find the MI , I of the body about an axis parallel to the above axis. If the distance between the two axes is h,

I=I

CM

+Mh

2

The theorem of perpendicular axes is applicable to a plane lamina only. The moment of inertia I

z

of a plane lamina about an axis - the z axis - perpendicular to its plane is equal to the sum of its moments of inertia I

x

and I

x

about two mutually perpendicular axes x and y in its plane and through the point of intersection of the perpendicular axis and the lamina.

I

z

=I

x

+I

y