An osculation is described by the equation x = A sin 2πγ2t where A changes with time accor

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An osculation is described by the equation x = A sin 2&#960;&#947;2t where A changes with time according to the law A = A0 (1 + cos 2&#960;&#947;2t) where A0 is constant. Find the ration of frequencies of harmonic oscillations forming oscillation

Accepted Answer

x = A0(1 + cos 2&#960;&#947;2t) sin (2&#960;&#947;1t)= A0[sin 2&#960;&#947;1t + cos 2&#960;&#947;2t + sin 2&#960;&#947;1t]= A0[sin 2&#960;&#947;1t + sin (2&#960;(&#947;1 + &#947;2)t - sin (2&#960;(&#947;1 - &#947;2)t))]Required ratio &#957;1 : (&#957;1 - &#957;2) : (&#957;1 + &#957;2)

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