A 5-kg mass is attached to a spring with stiffness 135 N/m. The damping constant for the system is 30√√3 N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that it will attain? The general solution is y(t)= | (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) The maximum displacement is meters. (Type an exact answer, using radicals as needed.)

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A 5-kg mass is attached to a spring with stiffness 135 N/m. The damping constant for the system is 30√3 N-sec/m. If the mass is pulled 10 cm to the right of
equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that it will attain?
The general solution is y(t)-
(Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
The maximum displacement is
meters.
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:A 5-kg mass is attached to a spring with stiffness 135 N/m. The damping constant for the system is 30√3 N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that it will attain? The general solution is y(t)- (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) The maximum displacement is meters. (Type an exact answer, using radicals as needed.)
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