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Example: If kinetic energy and potential energy is given by T = m(x² + y²) and V respectively. (a) Write down Lagrangian of the system. (b) Identify generalized coordinate and generalized velocity. (c) Identify cyclic coordinate and discuss conservation of momentum. =-mgy

Example: If kinetic energy and potential energy is given by T = m(x² + y²) and V respectively. (a) Write down Lagrangian of the system. (b) Identify generalized coordinate and generalized velocity. (c) Identify cyclic coordinate and discuss conservation of momentum. =-mgy

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Example: If kinetic energy and potential energy is given by T = = m(x² + y²) and V = -mgy respectively. (a) Write down Lagrangian of the system. (b) Identify generalized coordinate and generalized velocity. (c) Identify cyclic coordinate and discuss conservation of momentum. (d) Discuss equation of motion.
Transcribed Image Text:Example: If kinetic energy and potential energy is given by T = = m(x² + y²) and V = -mgy respectively. (a) Write down Lagrangian of the system. (b) Identify generalized coordinate and generalized velocity. (c) Identify cyclic coordinate and discuss conservation of momentum. (d) Discuss equation of motion.
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