Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 69
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Question number: 1
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by , in units in which the speed of light . The corresponding Lagrangian is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Classical Mechanics » Rigid Body Dynamics  Moment of Inertia Tensor
Appeared in Year: 2013
Question
A uniform cylinder of radius r and length and a uniform sphere of radius R are released on an inclined plane when their centers of mass are at same height. If they roll down without slipping and if the sphere reaches the bottom of plane with a speed V, then the speed of the cylinder when it reaches the bottom is: (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Classical Mechanics » Poisson Brackets
Appeared in Year: 2013
Question
Let A, B and C be function of phase space variables (coordinates and momenta of a mechanical system). If {, } represents the Poisson bracket, the value of is given by – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  0 

Question number: 4
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
The Lagrangian of a particle of mass m moving in one dimension is given by,
Where, b is a positive constant. The coordinate of the particle at time t is given by: (in the following and are constants) (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

