Classical Mechanics (GATE Physics): Questions 8  11 of 38
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Question number: 8
» Classical Mechanics » Kepler Problem and Planetary Motion
Appeared in Year: 2014
Question
A planet of mass moves in a circular orbit of radius in the gravitational potential , where is a positive constant. The orbital angular momentum of the planet is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 9
» Classical Mechanics » Mechanics of System of Particles
Appeared in Year: 2015
Write in Short
A particle of mass falls freely in the earth’s gravitational field with an initial
velocity . If air exerts a friction force of form, , then for , the velocity at time is ________ (up to two decimal places). (Use and )
Question number: 10
» Classical Mechanics » Small Oscillations and Normal Modes
Appeared in Year: 2016
Write in Short
Two blocks are connected by a spring of spring constant . One block has mass and the other block has mass . If the ratio , the angular frequency of vibration of the two block spring system in is . (Give your answer up to two decimal places)
Question number: 11
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2015
Question
The Lagrangian for a particle of mass m at a position moving with a velocity is given by , where is a potential and C is a constant. If is the canonical momentum, then its Hamiltonian is given by,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
