Help with text book (vibration)

AI Thread Summary
The discussion centers on confusion regarding the substitution of equation 3.5 into equation 3.3 in a vibration textbook. The user questions the handling of the second derivative of cosine, specifically how it relates to the absence of s^2 in the equations. There is also uncertainty about the elimination of the cosine function in the process. Clarification on these mathematical steps is sought to better understand the derivation. The inquiry highlights the complexities involved in understanding vibration equations in the context of differential calculus.
MMCS
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HI,

I am studying vibration, came across this in a textbook and can't see the steps taken to substitute e.q 3.5 into 3.3. There is a second derivative x so where does this go, as there is no s^2 either and I can't see how cos was eliminated

Cheers
 

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