Question

prove the theorem of parellal axes from chapter (system of partical and rotational motion)

Answer 1

Parallel Axis Theorem

The theorem determines the moment of inertia of a rigid body about any given axis, given that moment of inertia about the parallel axis through the centre of mass of an object and the perpendicular distance between the axes.

Statement:
The moment of inertia about Z-axis can be represented as:

Iz=Icm + m(r^2)

Where
Icm is the moment of inertia of an object about its centre of mass
m is the mass of an object
r is the perpendicular distance between the two axes.

Answer 2

theorem determines the moment of inertia of a rigid body about any given axis, given that moment of inertia about the parallel axis through the centre of mass of an object and the perpendicular distance between the axes.

Statement:
The moment of inertia about Z-axis can be represented as:

Iz=Icm + m(r^2)