| Topics: |
- Review of particle dynamics: Position, velocity, acceleration, Newton's laws, energy and momentum principles
- Kinematics of particle motion: Path variables, rectangular and curvilinear coordinate systems
- Relative motion: Rotation transformations, finite rotations, angular velocity and acceleration, velocity and acceleration in a moving reference frame, Observations From a Moving Reference System
- Kinematics of rigid bodies: General relations, Chasle's theorem, Eulerian angles, interconnections and constraint conditions, linkages, rolling
- Newton-Euler Kinetics of a Rigid Body: Fundamental momentum and energy principles for a rigid body, evaluation of angular momentum, inertia properties, equations of three-dimensional motion, Euler's equations, planar motion, application of impulse-momentum and energy principles, systems of rigid bodies
- Analytical mechanics: Generalized coordinates and degrees of freedom, finite and differential constraints, virtual displacements, generalized forces, hamilton's principle, lagrange's equations
- Applications: Computational methods, linkages, Coulomb friction, rolling, gyroscopic systems
- Advanced concepts: Generalized conservation theorems, Hamiltonian and Routhian functions, ignorable coordinates
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