Determine the amplitude and frequency

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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An 8-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 50 N/m and the damping constant is 6 N-sec/m. At time t = 0, an external force of 4 sin 3t cos 3t is applied to the system. Determine the amplitude and frequency
of the steady-state solution.
The amplitude is
(Type an integer or a decimal. Round to four decimal places as needed.)
Transcribed Image Text:An 8-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 50 N/m and the damping constant is 6 N-sec/m. At time t = 0, an external force of 4 sin 3t cos 3t is applied to the system. Determine the amplitude and frequency of the steady-state solution. The amplitude is (Type an integer or a decimal. Round to four decimal places as needed.)
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