Fundamentals of Differential Equations and Boundary Value Problems

7th Edition

ISBN: 9780321977106

Author: Nagle, R. Kent

Publisher: Pearson Education, Limited

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Textbook Question

Chapter 4.10, Problem 9E

An 8 -kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 1.96 m upon coming to rest at equilibrium. At time t = 0 , an external force F ( t ) = cos 2 t N is applied to the system. The damping constant for the system is 3 N- sec / m . Determine the steady-state solution for the system.

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Chapter 4.10, Problem 8E

Chapter 4.10, Problem 10E

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Chapter 4 Solutions

Fundamentals of Differential Equations and Boundary Value Problems

Ch. 4.1 - Verify that for b=0 and Fext(t)=0, equation (3)...Ch. 4.1 - If Fext(t)=0, equation (3) becomes my+by+ky=0. For...Ch. 4.1 - Show that if Fext(t)=0, m=1, k=9, and b=6, then...Ch. 4.1 - Prob. 4E Ch. 4.1 - Verify that the exponentially damped sinusoid...Ch. 4.1 - An external force F(t)=2cos2t is applied to a...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - Undamped oscillators that are driven at resonance...

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Solution Summary: The author explains the steady state solution of the system. The mass of a spring is 8kg and the damping constant 3.

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