The phase space of an $n$-degree-of-freedom mechanical system is the $2n$-dimensional space of canonical positions and <momenta> $(q_1,\ldots,q_n,p_1,\ldots,p_n)$, geometrically the cotangent bundle of configuration space. A point specifies a complete instantaneous state.

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 8E / a / Solution

 Solution (source code)