The position of a free particle in a frame of reference for a given system at any time may be represented by a vector r =r (x, y, z). 2.1 If the system has five independent particles, how many coordinates would be required to determine the configuration of the whole system? Explain how you arrived at your answer. 2.2 What is meant by the generalized coordinates of a given system? 2.3 Given that the generalized coordinates of a system are

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QUESTION 2: THE LAGRANGIAN
The position of a free particle in a frame of reference for a given
system at any time may be represented by a vector r = r (x, y, z).
2.1 If the system has five independent particles, how many
coordinates would be required to determine the configuration
of the whole system? Explain how you arrived at your
answer.
2.2 What is meant by the generalized coordinates of a given
system?
2.3 Given that the generalized coordinates of a system are
Transcribed Image Text:QUESTION 2: THE LAGRANGIAN The position of a free particle in a frame of reference for a given system at any time may be represented by a vector r = r (x, y, z). 2.1 If the system has five independent particles, how many coordinates would be required to determine the configuration of the whole system? Explain how you arrived at your answer. 2.2 What is meant by the generalized coordinates of a given system? 2.3 Given that the generalized coordinates of a system are
2.4 How many generalized coordinates do you require for a free
particle in a Cartesian coordinate reference system? Name
them.
Transcribed Image Text:2.4 How many generalized coordinates do you require for a free particle in a Cartesian coordinate reference system? Name them.
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