Analytical mechanics

Physics 105. Spring 2018. Physics and Astronomy Department. Saint Mary's College of California

This course covers the principles of particle dynamics. Topics include rigid body dynamics, Lagrange’s equations, Hamilton’s principle, wave propagation, and normal modes of vibration in oscillating systems. Prerequisites: Physics 1-4 and Math 39.

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Date Text Topic Handouts, links, notes
M2.12 1.1 1.2 1.4 NEWTON'S 2ND LAW REVIEW. intro, vector review, Newton's second law, differential equations in-class problems, assignment
W2.14 1.6 1.7 Cartesian and polar coordinates
F2.16 2.1 2.2 PROJECTILES AND CHARGED PARTICLES. air resistance, linear air resistance in-class problems
M2.19 2.4 2.5 quadratic air resistance, charged particle in B
W2.21 problems on air resistance in-class problems
F2.23 2.3 trajectory, range, Taylor series approx in-class problems
M2.26 1.5 3.1 3.2 MOMENTUM AND ANGULAR MOMENTUM. Newton's 3rd law, conservation of momentum, rockets in-class problems, assignment DUE 2.3 2.8 2.14 2.29 2.33 2.40 2.57
W2.28 3.3 3.4 center of mass, single particle angular momentum in-class problems, assignment
F3.02 3.4 Kepler's law, moment of inertia in-class problems
M3.05 4.1 ENERGY. kinetic energy, work-kinetic energy theorem DUE 2.37 2.14 2.20 3.3 3.9 3.1BC 3.17 3.33 3.31. in-class problems, assignment
W3.07 revisit what needs to be revisited: projectiles, momentum
F3.09 4.2-4.4 potential energy, work-energy theorem
M3.12 4.3 4.4 4.5 gradient of potential, curl of force, time dependent U
W3.14 4.6 4.7 energy in 1D systems
F3.16 exam review
M3.19 EXAM 1 grades, retake?