Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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A particle of mass m is constrained to move under gravity on a smooth
surface given by the equation:
h(x, y) = x2 + y2 − xy.
a) Use the Lagrangian formalism to find the equations of motion for the
particle.
b) Consider small oscillations about the orgin, what are the frequencies
for teh normal modes?
(c) If one is to release the mass close to the origin, what must be the ratio
between the x and y displacements so that only the higher frequency normal mode oscillation will be excited
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