Classical MechanicsLagrange's and Hamilton's Formalisms (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 5  8 of 20
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Question number: 5
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2016
Question
The Lagrangian of a system is given by
, where are constants.
Which of the following is conserved?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Passage
A particle of mass slides under the gravity without friction along the parabolic path , as shown in the figure. Here, is a constant.
Question number: 6 (1 of 2 Based on Passage) Show Passage
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2012
Question
The Lagrangian for this particle is given by –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 7 (2 of 2 Based on Passage) Show Passage
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2012
Question
The Lagrange’s equation of motion of the particle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 8
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2013
Question
The Lagrangian of a system with one degree of freedom is given by , where and are non –zero constants. If denotes the canonical momentum conjugate to then which one of the following statements is CORRECT?
Choices
Choice (4)  Response  

a.  and it is a conserved quantity 

b.  and it is not a conserved quantity 

c.  and it is not a conserved quantity 

d.  and it is a conserved quantity 
