This document discusses kinetics of particles and introduces concepts of linear and angular impulse, momentum, and their relationships. It defines linear momentum as the resultant of all forces acting on a particle equals its time rate of change of linear momentum. The linear impulse-momentum principle states that the total linear impulse on a mass equals the corresponding change in its linear momentum. It also introduces angular momentum as the moment of the linear momentum vector about a fixed point, and defines the angular impulse-momentum principle as the total angular impulse on a mass about a fixed point equals the change in its angular momentum about that point.

1. Module 2 - Kinetics of Particles
Linear Impulse & Linear Momentum
• Integrate equations of motion w.r.t time rather than
displacement
• Linear momentum:
G = mv | resultant of all forces
acting on a particle equals its
time rate of change of linear
momentum

2. Linear Impulse-Momentum Principle
• Total linear impulse on mass m equals the corresp.
change in linear momentum of m
• I-G Diagram
• Principle of conservation of linear momentum:
resultant force on particle is zero; G remains
constant

3. Example 1 - Linear I-G

4. Example 2 - Linear I-G

5. Example 3 – Conserv. of linear I-G

6. Angular Impulse-Angular Momentum
• The moment of the linear momentum vector mv
about the origin O (moment of momentum!)

7. Angular Impulse-Angular Momentum
• Rate of change of angular momentum:
Moment about the fixed point O of all forces acting
on mass m equal to the time rate of change of
angular momentum of m.

8. Angular Impulse-Momentum Principle
• Total angular momentum on mass m about the fixed
point O equals the corresp. change in angular
momentum of m about O.
• Principle of conserv. of angular momentum:

9. Example 4 - Angular I-H

10. Example 5 – Conserv. of angular I-H