A3. (a) Find the Euler-Lagrange equations of motion for the Lagrangian 1 1 L L(r,0,1,0, t) = 5m (2 +r202 -?02) – 5mw?r?
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A3. (a) Find the Euler-Lagrange equations of motion for the Lagrangian 1 1 L L(r,0,1,0, t) = 5m (2 +r202 -?02) – 5mw?r?
A3. (a) Find the Euler-Lagrange equations of motion for the Lagrangian 1 1 L L(r,0,1,0, t) = 5m (2 +r202 -?02) – 5mw?r? (b) Find the momenta pr and Po conjugate to r and 0. (c) What is the energy E? (d) Find the Hamiltonian Hr, 0, Pr, po) (15 marks]
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