 # As in Exercise 9, consider a spring with mass m, spring constant k , and damping constant c = 0, and let ω = k / m . If an external force F ( t ) = F 0 cos ωt is applied (the applied frequency equals the natural frequency), use the method of undetermined coefficients to show that the motion of the mass is given by x ( t ) = c 1 cos ω t + c 2 sin ω t + F 0 2 m ω t sin ω t ### Calculus: Early Transcendentals

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781285741550 ### Calculus: Early Transcendentals

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781285741550

#### Solutions

Chapter
Section
Chapter 17.3, Problem 10E
Textbook Problem

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