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Rayleigh's Method:
This is a modified energy method. It might be noted down that in a conservative system potential energy is maximum while kinetic energy is minimum and vice-versa. So, equating maximum kinetic energy having maximum potential energy.
∴ 1 /2 m (x' max) 2 = 1/2 k (x'max) 2
and
∴ xmax = X
½ m ( X w)2 = ½ k X 2
or
. . . (6)
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