State and prove theorem of perpendicular axes.

State and prove theorem of parallel axes.

State and prove Baye's theorem.

State theorem of parallel axes and therom of perpendi cular axes about moment of inertia.

Assertion: There is a thin rod AB and a dotted line CD. All the axes we are talking about are perpendicular to plane . As we take different axes moving from A to D, moment of inertia of the rod may first decrease then increase. Reason: Theorem of perpendicular axis cannot be applied here.

By the theorem of perpendicular axes, if a body be in X-Z-plane then :-

By the theorem of parallel axes: