A driving force of the form F (t) = (0.281 N) sin (2x ft) acts on a weakly damped spring oscillator with mass 5.64 kg, spring constant 361 N/m, and damping constant 0.155 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude A, of the oscillator's steady-state motion when the driving force has this frequency. Ao = m

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter16: Oscillations
Section: Chapter Questions
Problem 22PQ: A block of mass m rests on a frictionless, horizontal surface and is attached to two springs with...
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A driving force of the form
F (t) = (0.281 N) sin (2x ft)
acts on a weakly damped spring oscillator with mass 5.64 kg, spring constant 361 N/m, and damping constant 0.155 kg/s.
What frequency fo of the driving force will maximize the response of the oscillator?
fo =
Hz
Find the amplitude A, of the oscillator's steady-state motion when the driving force has this frequency.
Ao =
m
Transcribed Image Text:A driving force of the form F (t) = (0.281 N) sin (2x ft) acts on a weakly damped spring oscillator with mass 5.64 kg, spring constant 361 N/m, and damping constant 0.155 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude A, of the oscillator's steady-state motion when the driving force has this frequency. Ao = m
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