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This lecture demonstrates how to calculate center of mass and moment-of-inertia matrix entries for rigid bodies using integrals, planar approximations, standard shapes, and composite-body methods.
Syllabus
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.
Taught by
Ross Dynamics Lab