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PHYS 2006 Tim Freegarde Classical Mechanics. 2 LINEAR MOTION OF SYSTEMS OF PARTICLES Newton’s 2nd law for bodies (internal forces cancel) rocket motion.

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Presentation on theme: "PHYS 2006 Tim Freegarde Classical Mechanics. 2 LINEAR MOTION OF SYSTEMS OF PARTICLES Newton’s 2nd law for bodies (internal forces cancel) rocket motion."— Presentation transcript:

1 PHYS 2006 Tim Freegarde Classical Mechanics

2 2 LINEAR MOTION OF SYSTEMS OF PARTICLES Newton’s 2nd law for bodies (internal forces cancel) rocket motion ANGULAR MOTION rotations and infinitessimal rotations angular velocity vector, angular momentum, torque centre of massparallel and perpendicular axis theoremsrigid body rotation, moment of inertia, precession GRAVITATION & KEPLER’S LAWS conservative forces, law of universal gravitation 2-body problem, reduced mass NON-INERTIAL REFERENCE FRAMES centrifugal and Coriolis terms Foucault’s pendulum, weather patterns NORMAL MODES boundary conditions, Eigenfrequenciescoupled oscillators, normal modes planetary orbits, Kepler’s lawsenergy, effective potential

3 3 Newton’s law of Universal Gravitation Exact analogy of Coulomb electrostatic interaction gravitational force between two masses and gravitational field gravitational potential

4 4 Gravity anomaly gravity anomaly = variation from uniform solid NASA/JPL/University of Texas Center for Space Research

5 5 Gravitational attraction of a spherical shell Exact analogy of Coulomb interaction gravitational field gravitational potential gravitational force between two masses

6 6 Galilean equivalence principle inertial mass gravitational field gravitational motion of mass Apollo 15, David R Scott (7 August 1971) www.youtube.com/watch?v=MJyUDpm9Kvk history.nasa.gov/alsj/a15/a15.clsout3.html nssdc.gsfc.nasa.gov/planetary/lunar/apollo_15_feather_drop.html the trajectory of a point-like mass in a gravitational field is independent of the composition and structure of the mass gravitational mass equivalence principle inertial mass = gravitational mass

7 7 Solvay conference 1927 Piccard, Henriot, Ehrenfest, Herzen, Donder, Schrödinger, Verschaffelt, Pauli, Heisenberg, Fowler, Brillouin Debye, Knudsen, W.L. Bragg, Kramers, Dirac, Compton, de Broglie, Born, Bohr Langmuir, Planck, Skłodowska-Curie, Lorentz, Einstein, Langevin, Guye, Wilson, Richardson

8 8 Quantum Optics conference, Obergurgl, 2016 gravitational constant gravitational redshift gravitational wave detection

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