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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider
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In the following problems, take g = 32 ft/sec2

Chapter 4, Problem 9E

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QUESTION:

PROBLEM 9E

In the following problems, take g = 32 ft/sec2 for the U.S. Customary System and g = 9.8 m/sec2 for the MKS system.

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 2t 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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QUESTION:

PROBLEM 9E

In the following problems, take g = 32 ft/sec2 for the U.S. Customary System and g = 9.8 m/sec2 for the MKS system.

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 2t 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.

ANSWER:

SOLUTION
Step 1

We have to determine the steady -state solution for the system.

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