- Rotational Motion
- |
- Angular velocity
- |
- Angular acceleration
- |
- Rotation with constant angular acceleration
- |
- Kinetic energy of Rotation
- |
- Calculation of moment of inertia
- |
- Parallel Axis Theorem|Theorems of Moment of Inertia
- |
- Perpendicular Axis Theorem
- |
- Torque
- |
- work and power in rotational motion
- |
- Angular acceleration
- |
- Relationship between Angular momentum and torque
- |
- Conservation of Angular momentum
- |
- Radius of gyration
- |
- Rolling Motion|Kinetic Energy of rolling bodies
- |
- Rotational Motion problems with solutions

- This theorem is applicable only to the plane laminar bodies

- This theorem states that, the moment of inertia of a plane laminar about an axis perpendicular to its plane is equal to the sum of the moment of inertia of the lamina about two axis mutually perpendicular to each other in its plane and intersecting each other at the point where perpendicular axis passes through it

- Consider plane laminar body of arbitrary shape lying in the x-y plane as shown below in the figure

- The moment of inertia about the z-axis equals to the sum of the moments of inertia about the x-axis and y axis

- To prove it consider the moment of inertia about x-axis

where sum is taken over all the element of the mass m_{i}

- The moment of inertia about the y axis is

- Moment of inertia about z axis is

where r_{i}is perpendicular distance of particle at point P from the OZ axis

- For each element

r_{i}^{2}=x_{i}^{2}+ y_{i}^{2}

Class 11 Maths Class 11 Physics Class 11 Chemistry

Thanks for visiting our website.

**DISCLOSURE:** THIS PAGE MAY CONTAIN AFFILIATE LINKS, MEANING I GET A COMMISSION IF YOU DECIDE TO MAKE A PURCHASE THROUGH MY LINKS, AT NO COST TO YOU. PLEASE READ MY **DISCLOSURE** FOR MORE INFO.