M5 · Rigid-body dynamics
A 25-module path through m5 · rigid-body dynamics, in study order from foundations to the frontier.
Modules
- Moment of Inertia Tensor
- Products of Inertia and the Inertia Matrix
- Parallel Axis (Steiner) Theorem
- Perpendicular Axis Theorem
- Principal Axes and Principal Moments of Inertia
- Inertia Ellipsoid
- Angular Momentum of a Rigid Body
- Rotational Kinetic Energy
- Classification of Rigid Bodies: Spherical, Symmetric, and Asymmetric Tops
- Euler Angles
- Angular Velocity in Terms of Euler Angles
- Euler's Equations of Motion
- Free Symmetric Top and Body-Cone/Space-Cone Precession
- Heavy Symmetric Top
- Gyroscopic Precession
- Gyroscope and Its Applications
- Intermediate-Axis (Tennis-Racket) Theorem
- Poinsot Construction
- Polhode and Herpolhode Curves
- Stability Analysis of Free Rigid-Body Rotation
- Lagrangian Formulation of Rigid-Body Motion
- Rotational Kinematics (θ, ω, α)
- Torque and Angular Momentum about a Fixed Axis
- Rolling Motion — With and Without Slipping
- Statics and Rigid-Body Equilibrium