Some homework assignments:
- Problems 1.26, 1.27 and 1.46 in Taylor’s book: inertial and non inertial frames, rotating frame
- Problems 2.6 in Taylor’s book: small t/tau limit of the linear air drag case
- Problems 2.7 and 2.8 in Taylor’s book: separation of variables
- Problems 3.13 and 3.14 in Taylor’s book: rocket’s position; rocket in horizontal motion with linear drag
- Calculate the line integrals in Example 4.1 in Taylor’s book
- Problems 5.10 and 5.11 in Taylor’s book. oscillations around an equilibrium point and initial conditions, amplitude and angular frequency
- Problems 6.4 and 6.25 in Taylor’s book, Snell’s Law and Isochronous oscillations
- Problems 6.11 and 6.12 in Taylor’s book, calculus of variations I and calculus of variations II
- Problems 7.22 and 7.29 in Taylor’s book, pendulum in an elevator and pendulum attached to a rotating disk
- Problems 7.20 and 7.35 in Taylor’s book, particle on a helix and particle on a rotating horizontal hoop
- Problem 7.36 in Taylors’ book, spring pendulum
- Problems 8.2 and 8.3 in Taylors’ book, a two-body system with gravitational acceleration and motion of a spring thrown upward
- Problems 8.5, 8.6. 8.9 in Taylor’s book, two-body problem momenta and angular momenta, two bodies interacting through a spring
- Problem 8.23 in Taylor’s book, 1/r^3 correction to a central force
- Problems 13.2 and 13.5 in Taylor’s book, Hamiltonian of a point particle in free fall and Hamiltonian of a point particle sliding along a helix.
- Problems 13.6 and 13.10 in Taylor’s book, Hamiltonian for a massive spring and Hamiltonian for a mass moving on a plane.
- Problems 13.21 and 13.23 in Taylor’s book, Hamilton equations for two-point particles connected by a spring and for a spring attached to one of the masses in an Atwood machine.
- Problem 13.25 in Taylor’s book, canonical transformations
- Problems 10.35 and 10.36 in Taylor’s book, tensors of inertia, example 1 and example 2.
