Priority Items for Final Exam PH 314 Fall 2001    draft (close to final)       11/07/01

• Write Lagrange's equations for a  system and solve for equations of motion
• masses and springs
• 2-body problem
• others
• Rigid body motion
• Write down Euler's equations in the body-centered frame (section 12.6 in Chow)
• Wobble of Earth angular velocity vector
• Derive the Stability theorem: instability about intermediate axis of rotation
• Euler's angles theta, phi, psi to orient a rigid body in space
• Write down a Lagrangian for a system. From it find the Hamiltonian. Write Hamilton's equations.
• Force as a 1-D function of
• position
• velocity
• time
• find velocity and postion
• Stability of small oscillations about a circular orbit, given a force as a function of r (2-body problem)
• Problems in 2-body motion
• elliptical orbit problems
• gravitational boost problems
• Given V(x) and mass m in the potential, find the frequency of small oscillations about a min in V
• Coupled oscillations - 2 degrees of freedom
• write out the equations
• find the two 'normal mode' frequencies
• find the ratio of amplitudes for each frequency
• Start from sum of forces = ma in an inertial system and derive f = ma in a rotating coordinate system
• This will give pseudo-forces including coriolis and centrifugal forces
• Use a rotation matrix to go from coordinates before and after a single rotation
• No stuff on Q of damped oscillator, or damped oscillator, or driven oscillator