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Transcribed Image Text:5.15 The single degree-of-freedom system, shown in the following figure, is
subjected to a sinusoidal load F(t)=F, sin St at point A. Assume that the mass m,
the spring stiffnesses k₁ and k₂, and F₁ and 2 are known. The system is at rest
when t = 0.
-y(t)
k₂
wwwwww
Fi
1. Show that the differential equation governing the displacement of the mass
x(t) is
F(t)= Fo sin t
*+x=fsint, wo:
kjk₂
m(k₁+k₂)
m
-x(t)
f=
k₂
m (k₁+k₂)
-Fo-
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