A system with 100g_mass and a spring constant of k=150N/m has a damping constant y=1.1. Assume the mass was pulled to the right 30 cm at t=0and released. a)Estimate the time at which the amplitude has decayed to ¼ of its initial value. b)Assume the system is connected to a forcing function given by(in Newtons)F(t)=3coswtEstimate the value of the amplitude at resonance.
A system with 100g_mass and a spring constant of k=150N/m has a damping constant y=1.1. Assume the mass was pulled to the right 30 cm at t=0and released. a)Estimate the time at which the amplitude has decayed to ¼ of its initial value. b)Assume the system is connected to a forcing function given by(in Newtons)F(t)=3coswtEstimate the value of the amplitude at resonance.
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Transcribed Image Text:A system with 100g_mass and a spring constant of k=150N/m has a damping constant y=1.1. ASsume the mass
was pulled to the right 30 cm at t=0and released.
a)Estimate the time at which the amplitude has decayed to ¼ of its initial value.
b)Assume the system is connected to a forcing function given by(in Newtons)F(t)=3coswtEstimate the value
of the amplitude at resonance.
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