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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
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
Example 1 - Linear I-G
Example 2 - Linear I-G
Example 3 – Conserv. of linear I-G
Angular Impulse-Angular Momentum
• The moment of the linear momentum vector mv
about the origin O (moment of momentum!)
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.
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:
Example 4 - Angular I-H
Example 5 – Conserv. of angular I-H

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PDynamics_mod2c-Kinetics_of_Particles-l&G.pdf

  • 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