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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

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
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.
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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