Physics > Basics of Rotational Motion > 2.0 Motion of rigid body
Basics of Rotational Motion
1.0 Rigid body
2.0 Motion of rigid body
3.0 Kinematics of a plane motion
3.1 Angular velocity $\omega $
3.2 Angular acceleration $\left( \alpha \right)$
3.3 Kinematics equation for rotational motion
3.4 Analogy between translational motion & rotational motion
4.0 Moment of inertia
5.0 Radius of gyration $(K)$
6.0 Theorems of moment of inertia
7.0 Moment of inertia of uniform continious rigid bodies
7.1 Thin rod
7.2 Rectangular lamina
7.3 Circular ring
7.4 Circular disc
7.5 Solid cylinder
7.6 Cylindrical shell
7.7 Solid sphere
7.8 Hollow sphere
7.9 Spherical shell
7.10 Solid cone
7.11 Hollow cone
7.12 Hollow hemisphere
7.13 Parallelopiped
7.14 List of moment of inertia $(I)$ and radius of gyration $(K)$ of different bodies
2.2 Pure rotational motion
3.2 Angular acceleration $\left( \alpha \right)$
3.3 Kinematics equation for rotational motion
3.4 Analogy between translational motion & rotational motion
7.2 Rectangular lamina
7.3 Circular ring
7.4 Circular disc
7.5 Solid cylinder
7.6 Cylindrical shell
7.7 Solid sphere
7.8 Hollow sphere
7.9 Spherical shell
7.10 Solid cone
7.11 Hollow cone
7.12 Hollow hemisphere
7.13 Parallelopiped
7.14 List of moment of inertia $(I)$ and radius of gyration $(K)$ of different bodies
In pure rotation of a rigid body about an axis of rotation, every particle of the rigid body moves in a circle of different radii which lies in a plane perpendicular to the axis and has its centre on the axis.
Every point in the rotating rigid body has same angular velocity $\omega $ at any instant of time.
2.2.1 Axis of rotation (AOR)
During rotation, the line along which the body is fixed is known as the axis of rotation. Axis of rotation is always perpendicular to the plane in which the body rotates.
Consider a rigid body rotating about an axis of rotation (AOR) ${r_1},{r_2}\;\& \;{r_3}$ are the perpendicular distance from the axis of rotation to the points $A,B$ & $C$ respectively.
Axis of rotation (AOR) can either be inside or outside the body.
When axis of rotation (AOR) is inside the body
When axis of rotation (AOR) is outside the body
