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.
![Unstretched
y = 0 m
m
C
모
f(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68707cfa-83a2-43f4-ad61-0c752e608c06%2Fbb8468e6-3207-44f5-a273-86b72f9de199%2Fasw6qg_processed.png&w=3840&q=75)
Transcribed Image Text:Unstretched
y = 0 m
m
C
모
f(t)
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![b) Identify
y(t).
appropriate solution technique, and solve the differential equation for](https://content.bartleby.com/qna-images/question/68707cfa-83a2-43f4-ad61-0c752e608c06/62127772-23d2-44cf-95ab-6df2ff5b466a/k98rsvs_thumbnail.png)
Transcribed Image Text:b) Identify
y(t).
appropriate solution technique, and solve the differential equation for
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