Classical Mechanics


Foundations of classical mechanics: Newton's laws of motion, inertial and non-inertial reference frames, energy principles. Applications to simple dynamical systems under various force systems. Newton's law of gravitation and its application to motions of planetary bodies and the orbits of satellites. Motion relative to a rotating frame, coriolis and centripetal forces, motion under gravity over the earth's surface. Rigid body dynamics: centre of mass, angular velocity and momentum principles. Plane motions of laminae, simple 3-dimensional rigid body motions with reference to practical examples such as the orbiting space station, and the axis of rotation of the earth. Introduction to Lorentz transformations (time permitting).