Angular momentum of a rigid body

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SUMMARY

The angular momentum of a rigid body can be analyzed in both inertial and body coordinate systems. In the body system, where the rigid body is at rest, it can still possess non-zero angular momentum due to its rotational motion about its center of mass. This center of mass is defined as being at the origin (0,0,0) in the body system, which is distinct from the body's rotation itself. Understanding this distinction is crucial for accurately calculating angular momentum in various contexts.

PREREQUISITES
  • Understanding of rigid body dynamics
  • Familiarity with angular momentum concepts
  • Knowledge of inertial and non-inertial reference frames
  • Basic principles of rotational motion
NEXT STEPS
  • Study the principles of angular momentum in rigid body dynamics
  • Explore the differences between inertial and non-inertial reference frames
  • Learn about the mathematical formulation of angular momentum
  • Investigate examples of angular momentum calculations in various coordinate systems
USEFUL FOR

Physics students, mechanical engineers, and anyone studying the dynamics of rigid bodies will benefit from this discussion.

karlo1961
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The angular momentum of a rigid body is often calculated into different coordinate systems. One is an inertial system and the other is a body system moving with the rigid body. Now, in the body system the rigid body is at rest and has no movement at all. How is it that it can still have a non-zero angular momentum the body system.
 
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Typically, the "system moving with the rigid body" is a system in which the center of mass is always at (0,0,0), not one that is rotating with the body!
 

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