A 9-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 40 N/m and the damping constant is 4 N-sec/m. At time t=0, an external force of 6 sin 3t cos 3t N is applied to the system. Determine the amplitude and frequency of the steady-state solution.
A 9-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 40 N/m and the damping constant is 4 N-sec/m. At time t=0, an external force of 6 sin 3t cos 3t N is applied to the system. Determine the amplitude and frequency of the steady-state solution.
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Transcribed Image Text:A 9-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring
constant is 40 N/m and the damping constant is 4 N-sec/m. At time t=0, an external force of 6 sin 3t cos 3t N is applied
to the system. Determine the amplitude and frequency of the steady-state solution.
Using g =9.8 m/sec², the equilibrium displacement of the mass is 2.205 m.
(Type an integer or a decimal.)
The amplitude ism.
(Round to four decimal places as needed.)
The frequency is Hz.
(Type an exact answer, using as needed.)
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