Displacements, velocities and accelerations of mass particles in cartesian, polar and natural coordinates. Examples: the kinematics of a ball being thrown from a hill is compared in all three coordinate systems.

Describes motion in moving coordinate systems and the coriolis acceleration. Examples: the motion of a particle moving radially on a rolling wheel is animated in several reference frames.

Newton's laws. Inertial forces. Active vs. passive forces. Example: the linearized pendulum is treated in detail, and a general strategy for deriving equations of motion is outlined.

Conservative vs. non-conservative forces. Net work along paths. Potential and kinetic energy. Generalized conservation of energy to account for non-conservative systems. Phase curves. Examples: downhill braking of a car and the linearized pendulum.

Momentum as integrals of force over time. Elastic and inelastic collisions. Coefficient of elasticity. Example: rebound height of an inelastic ball dropped on the ground.

Newton's laws applied to systems. Center of mass and center of gravity of systems. Angular momentum of systems. Example: car pulling a trailer by a stiff spring.

Center of gravity, moment of inertia and angular momentum of rigid bodies. Steiner's Theorem. Total energy of a moving rigid body. Example: interactions between a solid cube and a cylinder on inclined planes.

Degrees of freedom and Lagrangian coordinates. How to derive equations of motion using the Lagrangian Equation. Example: equations of motion for two connected cubes on a flat and an inclined planes.

The synthetic and analytic methods for deriving equations of motion of multibody systems are compared on several examples: mass suspended from two springs of different stiffnesses, a mass hung over a cylindrical pulley that is suspended by a spring, and a multibody spring-mass system.