Question

« Give the definitions of following »
(i) Parallel - Axis Theorem
(ii) Perpendicular - Axes Theorem​

Answer 1

Parallel axis theorem⤵️⤵️

✔✔The Moment of Inertia of any plane area about any axis parallel to its centrodial axis

Perpendicular axis theorem⤵️⤵️

✔✔Which is equal to summation of its moment of Inertia about centroidal axis and product of its area and square of distance between the two axes.

Answer 2

$\mathfrak{\huge{\red{\underline{\underline{ANSWER :}}}}}$

The Parallel - Axis Theorem

✍️ The theorem states that moment of inertia of any distribution of matter about an arbitrary axis is equal to the moment of inertia of that matter about an axis through its centre of mass and parallel to the arbitrary axis plus the product of the mass of the matter and square of the shortest distance between these two parallel axes.

The Perpendicular - Axes Theorem

✍️ The sum of moment of inertia of a plane lamina about two mutually perpendicular axes lying in its plane is equal to its moment of inertia about an axis perpendicular to the plane of lamina and passing through the point of intersection of these two axes.

❤️Hope it will help You❤️