Classical Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 21  24 of 84
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Question number: 21
» Classical Mechanics » Mechanics of System of Particles
Appeared in Year: 2012
Question
In a central force field, the trajectory of particle of mass , and angular momentum in plan polar coordinates in given by,
Where, is the eccentricity of the particle’s motion. Which one of the following choices for gives rise a parabolic trajectory?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
» 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. 


Question number: 23
» Classical Mechanics » Moment of Inertia Tensor
Appeared in Year: 2012
Question
Two uniform thin rods of equal length and masses and are joined together along the length. The moment of inertia of the combined rod of length about an axis passing through the mid – point and perpendicular to the length of the rod is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 24
» Classical Mechanics » Small Oscillations and Normal Modes
Appeared in Year: 2012
Question
A particle of unit mass moves along the X – axis under the influence of a potential, . The particle is found to be in stable equilibrium at the point . The time period of oscillation of the particle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

