Consider the spring-mass system shown. A mass of m = 5kg has stretched a spring by s_0 = 1.5 meters and is at rest. A damping system is connected that provides a damping force equal to 30 times the instantaneous velocity of the mass. At time t=0, the mass at rest has an external force of f(t) = 25sin(10t) applied. Please write a differential equatioin that models the mass location y(t) as a function of time.
Consider the spring-mass system shown. A mass of m = 5kg has stretched a spring by s_0 = 1.5 meters and is at rest. A damping system is connected that provides a damping force equal to 30 times the instantaneous velocity of the mass. At time t=0, the mass at rest has an external force of f(t) = 25sin(10t) applied. Please write a differential equatioin that models the mass location y(t) as a function of time.
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Consider the spring-mass system shown. A mass of m = 5kg has stretched a spring by s_0 = 1.5 meters and is at rest. A damping system is connected that provides a damping force equal to 30 times the instantaneous velocity of the mass. At time t=0, the mass at rest has an external force of f(t) = 25sin(10t) applied.
Please write a differential equatioin that models the mass location y(t) as a function of time.
Transcribed Image Text:Unstretched
y = 0 m
m
C
모
f(t)
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Transcribed Image Text:b) Identify
y(t).
appropriate solution technique, and solve the differential equation for
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