The Basis
of Newtonian Mechanics. Kinematics of a particle: Time derivative of a unit
vector. Vector derivatives in rotating systems. Dynamics of a particle: Work
and energy, Impulse and momentum. The mass-spring-damper system. The simple
pendulum. Dynamics of a system of particles: Collisions. The rocket problem.
Lagrange’s equations: Derivation of Lagrange’s equations. Lagrange multiplier.
Kinematics of rigid body motion: Dyadic notation. Translation of coordinate
axes. Rotation of coordinate axes. Axis and angle of rotation. Dynamics of a
rigid body. General equations of motion. D’Alembert principle and rigid body
motion.