QUESTION 2: THE LAGRANGIAN [10 MARKS] The position of a free particle in a frame of reference for a given system at any

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Question 2 The Lagrangian 10 Marks The Position Of A Free Particle In A Frame Of Reference For A Given System At Any 1 (90.66 KiB) Viewed 37 times

QUESTION 2: THE LAGRANGIAN [10 MARKS] 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 [4] answer. 2.2 What is meant by the generalized coordinates of a given system? [2] 2.3 Given that the generalized coordinates of a system are denoted by qi where i = 1, 2, ..., n, write down in terms of the 2 Page HPSG031 REVISION TEST 2 / APRIL 2022 generalized coordinates the general form the position vector of the particles of the system. [2] 2.4 How many generalized coordinates do you require for a free particle in a Cartesian coordinate reference system? Name them. [2]