Phys 701. Classical Mechanics.
Midterm Exam. November 4, 2011.
Open book:
Goldsteins textbook can be used.
Others texts are not permitted.
Please submit a solution of just one problem. Choose any problem you like. If
you submit more than one solution, I
Homework 1
Mechanics 701, Fall 2011
Due: Friday, September 9
1
Problem 3-16
Prove that in a Kepler elliptic orbit with small eccentricity e the angular motion of a particle as
viewed from the empty focus of the ellipse is uniform to rst order in e. The em
Homework 6
Classical Mechanics (Phys701)
Due: November 28, 2011
Problem 6-5
(a) In the linear triatomic molecule, suppose the initial conditions is that the center atom is at
rest, but displaced by an amount a0 from equilibrium, the other two being at the
Homework 1
Mechanics 701, Fall 2011
Due: Friday, September 9
1
Problem 3-16
Prove that in a Kepler elliptic orbit with small eccentricity e the angular motion of a particle as
viewed from the empty focus of the ellipse is uniform to rst order in e. The em
Homework 6
Classical Mechanics (Phys701)
Due: November 28, 2011
Problem 6-5
(a) In the linear triatomic molecule, suppose the initial conditions is that the center atom is at
rest, but displaced by an amount a0 from equilibrium, the other two being at the
5
5.1
Rotations
Rotation matrix
The rotation operator R(t) has a matrix Rij (t) dened so that if a vector a = ai ei (where ei are
the basis vectors in the lab frame) is rotated into vector b = bi ei , then
b = R a,
bi = Rij aj
The rotated basis vectors e
PHYS 701. Classical Mechanics. Fall 2011
Placement Test
This test will not aect your grade in any way. It will be used to evaluate
your prior knowledge. Solve as many problems as you can. You are not
expected to solve all of them (though it would be nice)