Rigid Body Dynamics discusses rotational motion and angular quantities. A rigid body is a system of particles where external forces do not change the distance between particles. Angular displacement, velocity, and acceleration are defined. Angular momentum is calculated as the cross product of position and linear momentum vectors. Angular momentum is conserved for a closed system. Precession motion occurs when a torque acts perpendicular to the angular momentum vector. Gyroscopes demonstrate precession, where the axis of rotation precesses about the applied torque.

1. Rigid Body Dynamics
Udai Ram Ahir
Assistant Professor-Physics
Govt. PG College, Nimbahera

2.  Rigid Body-
• Rigid body is a system of particles containing large number of
particles and if some external force is applied on it there will be no
change in the distance among its comprising particles.

3. Basic Rotational Quantities-
The angular displacement is defined by:
For a circular path it follows that the angular velocity is:
The angular acceleration is, where the acceleration here is the
tangential acceleration:
In addition to any tangential acceleration, there is always
the centripetal acceleration:

4. Rotational equation of motions-

5. Directions of Angular Quantities-
What if the torque is perpendicular to the angular
momentum?

6. Angular Momentum-
1. Angular Momentum of a Particle
The angular momentum of a particle of mass m with respect to a
chosen origin is given by
L = mvr sin θ or more formally by the vector product L = r x p
2. The angular momentum of a rigid object

7. Conservation of Angular Momentum

8. Conservation of Angular Momentum

9. Precession Motion

11. Gyroscope- Gyroscope Precession

12. Gyroscope Precession
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