Number 12.44. 12.45. Please help me simple harmonic 12.43. Write the Hamiltonian of a simple pendulum and

Number 12.44. 12.45. Please help me

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simple harmonic 12.43. Write the Hamiltonian of a simple pendulum and derive its equation of mouon. 12.44. Find Hamilton's cquations for a harmonic oscillator for which V =kx +a', where k and e are %3D constants. 12.45. A particle of mass m moves under the influence of gravity along the spiral z= k0, r = a, where k and a are constants and Z is the vertical axis. Obtain Hamilton's equations of motion. dulum of mass m and length I is suspended from a car of mass M that moves with velocity u nings only in thể vertical plane contain- simple harmonic 12.43. Write the Hamiltonian of a simple pendulum and derive its equation of mouon. 12.44. Find Hamilton's cquations for a harmonic oscillator for which V =kx +a', where k and e are %3D constants. 12.45. A particle of mass m moves under the influence of gravity along the spiral z= k0, r = a, where k and a are constants and Z is the vertical axis. Obtain Hamilton's equations of motion. dulum of mass m and length I is suspended from a car of mass M that moves with velocity u nings only in thể vertical plane contain-