For the over damped oscillations, the displacement x(t) is expressed by the followingx(t) = e-ßt[A ewt + Be-wt]. The displacement can be expressed in tems of hyperbolic functions as the following: Hint: Use the following relations ey = cosh y + sinhy e-y = coshy – sinhy
For the over damped oscillations, the displacement x(t) is expressed by the followingx(t) = e-ßt[A ewt + Be-wt]. The displacement can be expressed in tems of hyperbolic functions as the following: Hint: Use the following relations ey = cosh y + sinhy e-y = coshy – sinhy
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![For the over damped oscillations, the displacement x(t) is expressed by
the followingx(t) = e-ßt [A eut + Be-w*]. The displacement can be
expressed in terms of hyperbolic functions as the following:
Hint: Use the following relations
ey = cosh y + sinh y
e-y = coshy - sinhy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68cf1c2f-66cc-4da5-9366-1f61a08c7e3e%2Ff99a83d5-00fb-47c4-80aa-e00c97d3ff44%2F7hkzdam_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the over damped oscillations, the displacement x(t) is expressed by
the followingx(t) = e-ßt [A eut + Be-w*]. The displacement can be
expressed in terms of hyperbolic functions as the following:
Hint: Use the following relations
ey = cosh y + sinh y
e-y = coshy - sinhy
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