Classical MechanicsLagrange's and Hamilton's Formalisms (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  3 of 21
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Question number: 1
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2015
Question
The Hamiltonian for a system of two particles of masses and at and having velocities and is given by , where C is a constant. Which one of the following statements is correct?
Choices
Choice (4)  Response  

a.  The total energy and total momentum are conserved 

b.  The total energy and component of the total angular momentum are conserved 

c.  The total energy and total angular momentum are conserved. 

d.  Only the total energy is conserved 

Question number: 2
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2014
Question
The Hamilton’s canonical equations of motion in terms of Poisson Brackets are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2012
Question
A particle of mass is attached to a fixed point by a weightless inextensible string of length . It is rotating under the gravity as shown in the figure.
The Lagrangian of the particle is,
Where, and are the polar angles.
The Hamiltonian of the particle is,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

