Due at the beginning of class, Thursday Oct 14.

1. Write down the Lagrangian for a compound pendulum with three elements. For notation, extend what we used for the 2-element pendulum, calling the third angle "chi".

2. Fowkes & Mahony, Ex 4.7 (a) and (b), p113. Flagpole revisited.
Note: this is a problem with 2 independent variables and 2nd order derivatives in the Lagrangian: see notes on extensions of basic EL eqn.