Newton's Laws

• why must a potential energy function be continuous?
• test a force to see if it's conservative; evaluate line integral (qualitative)
• test a force to see if it's conservative; evaluate line integral (Maple)
• yank on light cord to mass suspended by another cord - sketch and discussion
• yank on a light cord to mass suspended by a light cord - which cord will break?
• foucault pendulum, with starter worksheet for students
• driven, damped oscillator, with amplitude and phase as a function of frequency
• numerical convergence of several methods applied to 1-d motion

Collisions

• collision of two bodies via a spring
• small ball bounces high after colliding with rebounding large ball

Lagrange's equations of motion

• projectile motion
• mass sliding on tabletop w/ light string thru hole to hanging mass
• rotating mass-spring system

Kepler's Laws

• retrograde motion of planets as seen from Earth
• 'kinks' in motions of bodies near Jupiter
• stability of motion at a triangular lagrange point in Sun-Jupiter system

Rigid Bodies

• Euler angles carried into 3D view and animation
• rotating rigid body with torque; motion at large and small angular momentum

Coupled oscillations

• two masses and three springs, including amplitude ratios of the modes
• coupled oscillations in CO2