lecture 6
Topics: F = ma Euler-Lagrange equations Hamiltons principle Functions of functions Calculus of variations Functional derivatives Finding functional derivatives Back to Hamiltons principle More degrees of freedom The Lagrangian and the acti
lecture 5
Topics: Where are we now? Newtons second law and momentum The third law Rocket motion Scattering and kinematics Elastic collisions Inelastic collisions The speed of a bullet More elastic collisions Where are we? In the previous lecture, we
lecture 4
Topics: Where are we? Conservation laws Work and Energy and the second Law Energy in the harmonic oscillator Work and Energy in three dimensions Examples of potentials in 3-dimensions A particle on a frictionless track Forced oscillation an
lecture 3
Topics: Where are we? Consequences of Time Translation Invariance and Linearity Uniform circular motion Harmonic oscillation for more degrees of freedom The double pendulum The damped harmonic oscillator Where are we? Last time, we saw how
lecture 2
Topics: Where are we? Forces of the form F (v) Example: F (v) = m v Another example: F (v) = m v 2 Forces of the form F (x) Review of the harmonic oscillator Linearity and Time Translation Invariance Back to F (v) = m v Where are we? Las
lecture 1
Topics: What is classical mechanics? Degrees of freedom The Art of Theoretical Physics Motion, trajectories and F = m a F = ma implies two initial conditions per degree of freedom Two initial conditions per degree of freedom implies F = ma
Physics 16 Assignment #2 During the week of September 28 - October 5, reread section 4.4 (I should have told you not to read this last week sorry about that), and read sections 5.1-5.3 and 5.5-8 of David Morins book. We will come back to section 5.4
Physics 16 Assignment #1 During the weeks of September 20-29, 2005, read in David Morins textbook Appendices A, B and C in Chapter 14 and Chapters 1, 2 and 3 except for section 3.4. Note that Appendices B and C are extremely important, because they a