# Classical Mechanics-System of Particles (IFS (Forests Services) Physics (Mains)): Questions 1 - 4 of 4

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## Question number: 1

» 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 ? (Paper-1) (section – A)

### Explanation

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## Question number: 2

» 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: 3

» 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? (Paper-1) (Section –A)

### Explanation

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## Question number: 4

» Classical Mechanics » System of Particles » Constraints

Appeared in Year: 2010

### Describe in Detail

How can one introduce the constraints of motion through the concept of generalized coordinate systems? Write down the set of transformation equations for a system of particles relating the generalized coordinates with real coordinates. (Section A)

### Explanation

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