1) A system is described by the Hamiltonian, H = its Lagrangian ko'p?, where k is constant. What will be L = pq-L H= +21

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1 A System Is Described By The Hamiltonian H Its Lagrangian Ko P Where K Is Constant What Will Be L Pq L H 21 1 (39.73 KiB) Viewed 32 times

1) A system is described by the Hamiltonian, H = its Lagrangian ko'p?, where k is constant. What will be L = pq-L H= +21. 2m iii) If the Hamiltonian of a system is given by (a and m are constants) 2 ӘН ӘРХ SH де әРx sh 8PX 0PX on iv) Consider a system cycloid) described by : - alo+sind) and y = a(1 - cos 6), where a is constant and -- < 5. Finds its Lagrangian and Hamiltonian. Note that V = mgy. Q3: Find {H Pe]. - 3 (i) Show that the transformation, Q = q cosa - psina and P = qsin a + pcosa is canonical. Find the generating function, F, for this transformation. (ii) For what values of a and B is the transformation, Q = q* cos(Bp) and P = q* sin(Sp) canonical? Find the generated function, F2.