Classical Dynamics Of Particles And Systems
Classical Dynamics Of Particles And Systems
5th Edition
ISBN: 9788131518472
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning India
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Chapter 12, Problem 12.2P
To determine

To investigate the case of coupled oscillator under weak coupling k12k1,k2 and to show that the phenomenon of beats occurs but the energy transfer process is incomplete.

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Problem 1. The Morse potential, which is often used to model interatomic forces can be written in the form U(r) = D(1-e²²(²-))² 3 wherer is the distance between the two atomic nuclei. Determine the "spring constant" for small displacements from equilibrium for the Morse potential.
Question 6: The dispersion relation of a system is given by w(k) = 2w, sin, where wo is a constant and n is an integer. 1. Calculate the group velocity vg. 2. Calculate the phase velocity Uph.
I got sqrt(g/4) as my omega from part d. However, I don't how to proceed from there to answer part e,f and g
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