5.15 The single degree-of-freedom system, shown in the following figur subjected to a sinusoidal load F(t) = F, sin 22t at point A. Assume that the mas the spring stiffnesses k₁ and k₂, and F₁ and 2 are known. The system is at when t=0. | k₁ www -y(t) k₂ F(t)= Fosin t m -x(t) 1. Show that the differential equation governing the displacement of the x(t) is
5.15 The single degree-of-freedom system, shown in the following figur subjected to a sinusoidal load F(t) = F, sin 22t at point A. Assume that the mas the spring stiffnesses k₁ and k₂, and F₁ and 2 are known. The system is at when t=0. | k₁ www -y(t) k₂ F(t)= Fosin t m -x(t) 1. Show that the differential equation governing the displacement of the x(t) is
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![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-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f66b072-56d3-4d1d-be03-6dbb7c90ba7d%2F01b4e3b3-3d2b-4ddc-8b11-069483639b71%2F0ojxi1_processed.png&w=3840&q=75)
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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