A particle moves in simple harmonic motion according to the equation, s=25Acos(wt)+25|B cos(wt). Where s is the displacement, w is the angular frequency and A,B are constant. Show that, d2s +ws=0. dt2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 106E
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A particle moves in simple harmonic motion according to the equation, s=25Acos(wt)+25Bcos(wt).
Where s is the displacement, w is the angular frequency and A.B are constant. Show that,
d2s
+ws=0.
dt2
Transcribed Image Text:A particle moves in simple harmonic motion according to the equation, s=25Acos(wt)+25Bcos(wt). Where s is the displacement, w is the angular frequency and A.B are constant. Show that, d2s +ws=0. dt2
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