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...Ep classical mechanics tutorial sheet solution thistutorialsheetcontainsproblemsrelatedtocanonicaltransformations poissonbrack ets etc one of the attempts at combining two sets hamilton s equations into tries to take q and p as forming a complex quantity show directly from motion that for system degree freedom transformation ip is not canonical if hamiltonian left unaltered can you nd another set coordinates are related by change scale only soln given satised in transformed coordinate therefore let us evaluate h using fact variables satisfy we obtain i have substituting these above thus expressed terms does making non dene so iq choose such will be become choice which achieve qcos psin qsin pcos satises symplectic condition any value parameter find generating function what physical signicance your work both cases check conditions order with this m cos sin now mtjm j similarly it easy verify second mjmt also all values try rst type e f governing express follows qcot qcsc integrate cot q...