Explain how they got d? 3. A mass of 0.5 kg hangs from a spring of negligible mass. When an additional mass-of 0.2 kg is attached to the 0.5 kg, the spring is stretched an additional 4 cm.WhenWhen the 0.2 kg mass is abruptly removed, the amplitude of the resultant vibrationsof the 0.5 kg mass is observed to decrease to 1/e its original amplitude in 1 second.(Note: The force on a mass due to gravity = 9.8 x mass.)The resultant displacement is given by the equation:x = A e ³t cos(@at +ø)Thiwhere at time t = 0, the decay in amplitude is assumed to be negligible and thedisplacement x is found to be 3.5cm.Calculate:a). The spring constant, S.b). The mechanical resistance, Rmc). The frequency of damped oscillation, @d.d). The phase constant, ø.Nm-halsisT= 2mRm d)-BbAt tão, Xo = è AcosøAbutSo"(4 cmat t=0,Athas decayed minimallyДеAcos 0 =133*?* Tho isbit strangete-1t term willеstill count from theatwhichx=know the amplit nah,ie:X.AJ3. Sem}}ده ) -pointoscillations startارم = 8|0.0350.0429XoA

Answered: Image /qna-images/answer/db45982b-c476-48dd-9687-37bb2486d396.jpg

3. A mass of 0.5 kg hangs from a spring of negligible mass. When an additional mass- of 0.2 kg is attached to the 0.5 kg, the spring is stretched an additional 4 cm. When the 0.2 kg mass is abruptly removed, the amplitude of the resultant vibrations of the 0.5 kg mass is observed to decrease to 1/e its original amplitude in 1 second. (Note: The force on a mass due to gravity = 9.8 x mass.) The resultant displacement is given by the equation: Thi x = A e ³t cos(@dt +ø) where at time t = 0, the decay in amplitude is assumed to be negligible and the displacement x is found to be 3.5cm. Calculate: a). The spring constant, S. b). The mechanical resistance, Rm - Nm- A ing is T= 2m c). The frequency of damped oscillation, @d. d). The phase constant, ø. Rm

3. A mass of 0.5 kg hangs from a spring of negligible mass. When an additional mass- of 0.2 kg is attached to the 0.5 kg, the spring is stretched an additional 4 cm. When the 0.2 kg mass is abruptly removed, the amplitude of the resultant vibrations of the 0.5 kg mass is observed to decrease to 1/e its original amplitude in 1 second. (Note: The force on a mass due to gravity = 9.8 x mass.) The resultant displacement is given by the equation: Thi x = A e ³t cos(@dt +ø) where at time t = 0, the decay in amplitude is assumed to be negligible and the displacement x is found to be 3.5cm. Calculate: a). The spring constant, S. b). The mechanical resistance, Rm - Nm- A ing is T= 2m c). The frequency of damped oscillation, @d. d). The phase constant, ø. Rm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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