Classical Mechanics (IFS (Forests Services) Physics (Mains)): Questions 1  5 of 7
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Question number: 1
» Classical Mechanics » Particle Dynamics » Conservation of Linear and Angular Momentum
Appeared in Year: 2011
Write in Short
A particle of rest mass ‘M’ moving at a velocity ‘u’ collides with a stationary particle of rest mass ‘m’. If the particle stick together, show that the speed of the composite ball is equal to,
Where (Paper1) (Section –A)
Question number: 2
» Classical Mechanics » System of Particles » Generalised Coordinates and Momenta
Appeared in Year: 2012
Describe in Detail
Using D’ Alembert’s principle, show that the following relation can be obtained for a system of particles under generalized coordinates,
What is the significance of ? (Paper1) (section – A)
Explanation
 The mathematical statement of D’ Alembert’s principle is given as,
 Transform D’ Alembert’s principle into expressions containing independent generalized coordinates only.
 Equation (2), gives an infinitesimal virtual displacement at particular instant . We can see that the variation with respec
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Question number: 3
» Classical Mechanics » System of Particles » Cyclic Coordinates
Appeared in Year: 2012
Write in Short
Express Lagrange’s equation of motion for the cyclic coordinate and show that the result leads to the general conservation theorem for the generalized momentum coordinates. (Paper  1) (Section – A)
Question number: 4
» Classical Mechanics » System of Particles » Generalised Coordinates and Momenta
Appeared in Year: 2012
Describe in Detail
Starting with Newton’s second law of motion, establish D’ Alembert’s principle and discuss its significance? (Paper1) (Section –A)
Explanation

Let consider a system described by generalized coordinates . And this system undergoes a certain displacement in configuration space. If for this displacement it does not take any time and it is consistent with the constraints on the system. This kind of displacement is called virtual.

In virtual displacement there is no act
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Question number: 5
» Classical Mechanics » Particle Dynamics » Rotating Frames
Appeared in Year: 2013
Write in Short
A satellite revolves in a circular orbit around the Earth at a certain height above it. Calculate the time period of revolution of the satellite, if the radius of the Earth is significantly higher than the height at which the satellite revolves. (Section A)