# 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

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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 (Paper-1) (Section –A)

## Question number: 2

» Classical Mechanics » System of Particles » Generalised Coordinates and Momenta

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Appeared in Year: 2012

Essay Question▾

### 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 ? (Paper-1) (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 . W

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## Question number: 3

» Classical Mechanics » System of Particles » Cyclic Coordinates

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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

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Appeared in Year: 2012

Essay Question▾

### Describe in Detail

Starting with Newton’s second law of motion, establish D’ Alembert’s principle and discuss its significance? (Paper-1) (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

… (400 more words) …

## Question number: 5

» Classical Mechanics » Particle Dynamics » Rotating Frames

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Appeared in Year: 2013