5. For the overdamped oscillations, the displacement x(t) is expressed by the following x(t)-e-t [A et + Bet]. The displacement can be expressed in terms of hyperbolic functions as the following: Hint: Use the following relations e = coshy+sinhy e = coshy-sinhy A. x(t) = (cosh Bt-sin ßt) [(A + B) cosh wt- (A-B) sinh wt] B. C. x(t) = (cosh Bt+ sin ßt)[(A + B) cosh at + (A-B) sinhot] x(t) = (cosh ßt -sin ßt) [(A-B) cosh wt+ (A-B) sinh wt] x(t) = (cosh ßt - sin ßt) [(A + B) cosh wt+ (A-B) sinh wt] D.
5. For the overdamped oscillations, the displacement x(t) is expressed by the following x(t)-e-t [A et + Bet]. The displacement can be expressed in terms of hyperbolic functions as the following: Hint: Use the following relations e = coshy+sinhy e = coshy-sinhy A. x(t) = (cosh Bt-sin ßt) [(A + B) cosh wt- (A-B) sinh wt] B. C. x(t) = (cosh Bt+ sin ßt)[(A + B) cosh at + (A-B) sinhot] x(t) = (cosh ßt -sin ßt) [(A-B) cosh wt+ (A-B) sinh wt] x(t) = (cosh ßt - sin ßt) [(A + B) cosh wt+ (A-B) sinh wt] D.
Elements Of Electromagnetics
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![5. For the overdamped oscillations, the displacement x(t) is expressed by the
following x(t)-e-t [Aeut + Bet]. The displacement can be
expressed in terms of hyperbolic functions as the following:
Hint: Use the following relations
e? = coshy + sinh y
e = coshy-sinhy
A.
x(t) = (cosh Bt - sin ßt) [(A + B) cosh wt - (A-B) sinh wt]
B.
C.
x(t) = (cosh ßt+sin ßt) [(A + B) coshat + (A-B) sinh ct]
x(t) = (cosh ßt - sin ßt) [(A-B) cosh wt+ (A-B) sinh wt]
x(t) = (cosh ßt - sin ßt) {(A + B) cosh wt + (A-B) sinh wt]
D.
A.
OB.
O C.
O D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3329cb32-e34d-413f-8bd8-35f412d2bb7e%2F4b48c4a4-45f9-4cb8-902d-815aa1f8b532%2F9y2cohr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. For the overdamped oscillations, the displacement x(t) is expressed by the
following x(t)-e-t [Aeut + Bet]. The displacement can be
expressed in terms of hyperbolic functions as the following:
Hint: Use the following relations
e? = coshy + sinh y
e = coshy-sinhy
A.
x(t) = (cosh Bt - sin ßt) [(A + B) cosh wt - (A-B) sinh wt]
B.
C.
x(t) = (cosh ßt+sin ßt) [(A + B) coshat + (A-B) sinh ct]
x(t) = (cosh ßt - sin ßt) [(A-B) cosh wt+ (A-B) sinh wt]
x(t) = (cosh ßt - sin ßt) {(A + B) cosh wt + (A-B) sinh wt]
D.
A.
OB.
O C.
O D.
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