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Legendres Transformation-Classical and Relativistic Mechanics-Exam Paper, Exams of Classical and Relativistic Mechanics
This exam paper held at National Institute of Industrial Engineering for Classical and Relativistic Mechanics course. It includes: Legendre, Transformation, Function, Projectile, Mass, Canonical, Equations, Angular, Momentum, Conserved
Typology: Exams
2011/2012
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Ql. Q2. Q3. Classical Mechanics What do you understand by a Legendre transformation? Given function, P(p, q, t). How can you construct a function a function Q(r, q, s)? 10 Let a projectile of mass ‘m’ be projected upward. Find its equation of motion using Hamiltonian canonical equations. S A particle of mass m moves in a central force field. Prove that d) Its fall must be a plane curve. e) Its angular momentum is conserved: f) The principal of conservation of energy is expressed as SH + Pree’) — ph Ljer = 2 : ) 10 docsity.com