Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 36  39 of 69
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Question number: 36
» Classical Mechanics » Dynamical System
Appeared in Year: 2014
Question
A canonical transformation relates the old coordinates to the new ones by the relations and . The corresponding time – independent generating function is – (June – 2014)
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Question number: 37
» Classical Mechanics » Conservation Laws and Cyclic Coordinates
Appeared in Year: 2013
Question
A particle of mass m is at the stable equilibrium position of its potential energy, ; where are positive constants. The minimum velocity that has to be imparted to the particle to render its motion unstable is – (June)
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Question number: 38
» Classical Mechanics » Dynamical System
Appeared in Year: 2014
Question
The time evolution of one – dimensional system is described by . If this has one stable and two unstable fixed points, then the parameter b satisfies – (June – 2014)
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Question number: 39
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2012
Question
The Hamiltonian of a simple pendulum consisting of a mass attached to a massless string of length is . If L denotes the Lagrangian, the value of is – (December)
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