Some homework assignments:
- Problems 1.26 and 1.47 in Taylor’s book, motion with constant velocity viewed from a rotating frame
- Problems 3.13 and 3.14 in Taylor’s book, the height of a rocket at time t and rocket with linear air drag
- Calculate the line integrals in Example 4.1 in Taylor’s book
- Problem 5.13 in Taylor’s book, small oscillations around an equilibrium position
- Problem 6.4 in Taylor’s book, Snell’s law and Fermat’s principle
- Problem 6.25 in Taylor’s book, isochronous oscillations
- Problem 7.22 in Taylor’s book, pendulum in an accelerating elevator
- Problem 7.29 in Taylor’s book, pendulum attached to a rotating disk
- Problem 7.33 in Taylor’s book, soap bar on a tilting tray
- Problem 7.18 in Taylor’s book, mass hanging from a rotating cylinder
- Problem 7.26 in Taylor’s book, small oscillations of a bead on a rotating hoop around an equilibrium point (we discussed this in the lecture notes)
- Problem 8.2 in Taylor’s book, the two-body problem in presence of an external uniform gravitational field
- Problem 8.3 in Taylor’s book, vertical motion of particles connected by a spring
- Problem 13.1 in Taylor’s book, this is really easy but also very important
- Problem 13.2 in Taylor’s book, Hamiltonian of a particle in free fall
- Problem 13.5 in Taylor’s book, bead threaded on a spiral
- Problem 13.6 in Taylor’s book, spring of non-negligible mass
- Problem 13.10 in Taylor’s book, Hamiltonian depending on two coordinates
- Problem 13.23 in Taylor’s book, Atwood machine with a third mass attached through a spring
- Problem 13.25 in Taylor’s book, an example of a canonical transformation
- Problem 13.28 in Taylor’s book, phase-space of a repulsive force
- Problems 10.35 and 10.36 in Taylor’s book, inertia tensor and principal axes for an object made of a distribution of point masses
- Problem 10.23, in Taylor’s book, properties of the inertia tensor of a lamina
- Problem 10.24, in Taylor’s book, parallel axes theorem for the inertia tensor
- Problem 10.46, in Taylor’s book, precession in an axially symmetric body
Fall ’19 first exam
Fall ’19 second exam
Fall ’19 final exam
