Number 12.39. 12.40. Please help me 12.38. pendulum). 12.39. A point mass m is subjected to a

Number 12.39. 12.40. Please help me

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12.38. pendulum). 12.39. A point mass m is subjected to a central isotropic force. Using plane polar coordinates, compare the Hamiltonian H of this point mass relative to a reference frame S fixed in space with the Hamil. tonian H' of the same point mass relative to frame S' rotating about the force center with constant angular speed w($' = ¢ - w). 12.40. For Problem 12.39, set up Hamilton's equations for the particle in terms of r' and 0'. Also write these equations in terms of r and 0. L ooluc Hamilton's canonical equations for (a) a projectile in two dimensions and a 12.38. pendulum). 12.39. A point mass m is subjected to a central isotropic force. Using plane polar coordinates, compare the Hamiltonian H of this point mass relative to a reference frame S fixed in space with the Hamil. tonian H' of the same point mass relative to frame S' rotating about the force center with constant angular speed w($' = ¢ - w). 12.40. For Problem 12.39, set up Hamilton's equations for the particle in terms of r' and 0'. Also write these equations in terms of r and 0. L ooluc Hamilton's canonical equations for (a) a projectile in two dimensions and a