Center of Mass and Moment of Inertia Matrix - Example Calculations

Explore example calculations for center of mass and moment of inertia matrix in this comprehensive lecture on space vehicle dynamics. Learn about the flat plate approximation and composite body approach for rigid bodies. Dive into practical examples including circular flat plates, solid cones, and planar bodies. Understand the 3D parallel axis theorem and how to approximate complex shapes using simpler components. Discover applications in CAD, squishy rabbit simulations, and rigid body origami. Gain valuable insights into spacecraft attitude control and rigid body dynamics through worked problems and clear explanations.

Introduction and context.
Formulas for mass and center of mass vector.
Planar rigid body (thin plate approximation).
Circular flat plate or disk example.
Table for standard bodies.
Center of mass example calculations, solid cone.
Moment of inertia example calculation, planar body.
3D parallel axis theorem.
Complicated shapes can be approximated as a collection of simpler ones, CAD.
Squishy rabbit simulations.
Folded planar shape, rigid body origami.