8) A mass of I slug, when attached to a spring, streches it 2 feet and thencome to rest in the equilibriumposition. Starting at t=0, an external force f(t)=e¹ Sin(4t) is applied to the system. The surrounding medium offers a damping force that is numerically equal to 8 times the instantanous velocity. Find the equation of motion and analyze the displacement for f→ 00.

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8) A mass of I slug, when attached to a spring, streches it 2 feet and thencome to rest in the
equilibriumposition. Starting at t=0, an external force f(t) = e¹ Sin(4t) is applied to the
system. The surrounding medium offers a damping force that is numerically equal to 8 times the
instantanous velocity. Find the equation of motion and analyze the displacement for t→→ 00.
U.S. Customary
System
Unit
Distance
Mass
TH
Force
(anth)
foot (fo
slug
second (see)
pound (b)
32
MKS System
mer (m)
kilogram (kg)
second(sec)
newton (N)
9.81 m/sec
Transcribed Image Text:8) A mass of I slug, when attached to a spring, streches it 2 feet and thencome to rest in the equilibriumposition. Starting at t=0, an external force f(t) = e¹ Sin(4t) is applied to the system. The surrounding medium offers a damping force that is numerically equal to 8 times the instantanous velocity. Find the equation of motion and analyze the displacement for t→→ 00. U.S. Customary System Unit Distance Mass TH Force (anth) foot (fo slug second (see) pound (b) 32 MKS System mer (m) kilogram (kg) second(sec) newton (N) 9.81 m/sec
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