Answer to Question #70592 in Classical Mechanics for Arna

Question

The kinetic energy of a mechanical system is T=(1/2)(q1^2+q2^2)(q1'^2+q2'^2) ans its potential energy is V=1/(q1^2+q2^2).Show by using Liouville's form that the relation between q1 and q2 is a^2 q1^2+b^2 q2^2+2abq1q2 cos x=sin^2 x.(q1' and q2' are generalised velocities of q1 and q2).