Math, asked by diphabra, 10 months ago

If for a certain mechanical system H = p2q2 – u pq, where u is a real constant,
then show that pq is a constant of motion.

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Answered by prasadvinit1102

If the Hamiltonian of a dynamical system is given by H=p1q1–p2q2–aq12+bq22 where a, b are constants, show that p2-bd241= constant. (2) If H ... (3) The Lagrangian for the motion of a particle in a rotating frame is L=12m-r'2+12m (U2012+x22)+m (U(x1x'2–x2x. ... =PQ dFdt where F is a function of q and p.

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If for a certain mechanical system H = p2q2 – u pq, where u is a real constant,then show that pq is a constant of motion.​

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If for a certain mechanical system H = p2q2 – u pq, where u is a real constant,
then show that pq is a constant of motion.