The mass m and Hooke's constant k for a mass-and-spring system are given below. Determine whether or not pure resonance will occur under the influence of the given external periodic force F(t). m = 1, k = 25; F(t) is the odd function of period 2x with F(t) = 8 for 0
The mass m and Hooke's constant k for a mass-and-spring system are given below. Determine whether or not pure resonance will occur under the influence of the given external periodic force F(t). m = 1, k = 25; F(t) is the odd function of period 2x with F(t) = 8 for 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The mass m and Hooke's constant k for a mass-and-spring system are given below. Determine whether or not pure resonance will occur under the influence of the given external periodic force F(t).
m = 1, k = 25; F(t) is the odd function of period 2x with F(t) = 8 for 0 <t<
Choose the correct answer below.
○ A.
○ B.
ос.
D.
The Fourier series F(t)=
The Fourier series F(t)=
32
--
Π
Σ
n odd
32
==
Σ
Π
n odd
32
Σ
Π
n odd
12
sin nt
n
sin nt
n
does not contain a term of sin 5t, thus resonance does not occur.
contains a term of sin 5t, thus resonance does occur.
sin nt
n
does not contain a term of sin 5t, thus resonance does occur.
The Fourier series F(t)=-
The Fourier series F(t) =
Σ
n even
sin nt
n
contains a term of sin 5t, thus resonance does not occur.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febb913e1-4986-4d74-b6ce-ad576ddf43d3%2F5052ad4e-ce6a-4375-9bd8-cd9448b5961f%2Fj163nxx_processed.png&w=3840&q=75)
Transcribed Image Text:The mass m and Hooke's constant k for a mass-and-spring system are given below. Determine whether or not pure resonance will occur under the influence of the given external periodic force F(t).
m = 1, k = 25; F(t) is the odd function of period 2x with F(t) = 8 for 0 <t<
Choose the correct answer below.
○ A.
○ B.
ос.
D.
The Fourier series F(t)=
The Fourier series F(t)=
32
--
Π
Σ
n odd
32
==
Σ
Π
n odd
32
Σ
Π
n odd
12
sin nt
n
sin nt
n
does not contain a term of sin 5t, thus resonance does not occur.
contains a term of sin 5t, thus resonance does occur.
sin nt
n
does not contain a term of sin 5t, thus resonance does occur.
The Fourier series F(t)=-
The Fourier series F(t) =
Σ
n even
sin nt
n
contains a term of sin 5t, thus resonance does not occur.
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