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Explains ellipses in Cartesian and polar coordinates, focusing on geometric locus and trajectory parameters using mechanical energy and angular momentum constants.
Explores examples of applying the change of variables formula to simplify integrals over different regions in the xy-plane.
Explores the properties of ellipses in mechanics, including their equations, loci, and parameter determination using constants of motion.
Covers planetary trajectories, Kepler's laws, and the 'universal' law of gravitation.
Explores the deformation of straight beams, including deviated bending, compound bending, normal stress, and neutral axis.
