Q2. For a simple pendulum of length t, the angle Obetween rest position and deflected position is the only generalized coordinate. Kinetic energy of the bob of mass m is T=m0', and its potential energy,mg (1 - Cos 0) Display theLagrangian, L of this system. Write the relation connecting the Hamiltonian, H and the Lagrangian, L. Hence deduce the Hamiltonian H of the simple pendulum system, proving that it is the total energy of the system.
Q2. For a simple pendulum of length t, the angle Obetween rest position and deflected position is the only generalized coordinate. Kinetic energy of the bob of mass m is T=m0', and its potential energy,mg (1 - Cos 0) Display theLagrangian, L of this system. Write the relation connecting the Hamiltonian, H and the Lagrangian, L. Hence deduce the Hamiltonian H of the simple pendulum system, proving that it is the total energy of the system.
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Transcribed Image Text:Q2. For a simple pendulum of length t, the angle Obetween rest position and
deflected position is the only generalized coordinate. Kinetic energy of the bob of
mass m is T=m0', and its potential energy,mg (1 - Cos 0) Display
theLagrangian, L of this system. Write the relation connecting the Hamiltonian,
H and the Lagrangian, L. Hence deduce the Hamiltonian H of the simple
pendulum system, proving that it is the total energy of the system.
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