Q 5.31 A spring with a mass of 9 kg and a damping constant of 3 exhibits the ability to be extended 1.5 meters beyond its equilibrium position when subjected to a force of 4.5 newtons. If the spring is elongated by 3 meters beyond its equilibrium position and subsequently released with an initial velocity of zero. In terms of the text notation, what is the value of the following: c^(2) -4mk? Write your answer in the blank provided below: _(m^(2)kg^(2))/sec^(2) determine the position of the mass(in units of meters), after t seconds. Your response should be a function of the variable t with the general form: Clecos (Bt) + C2e" sin(St) Write your answers in the blanks provided below: B α 8= C1 = Y = C2 =

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5.31
A spring with a mass of 9 kg and a damping constant of 3 exhibits the ability to be
extended 1.5 meters beyond its equilibrium position when subjected to a force of 4.5
newtons. If the spring is elongated by 3 meters beyond its equilibrium position and
subsequently released with an initial velocity of zero.
In terms of the text notation, what is the value of the following:
c^(2) - 4mk?
Write your answer in the blank provided below:
_(m^(2)kg^(2))/sec^(2)
determine the position of the mass(in units of meters), after t seconds. Your response
should be a function of the variable t with the general form:
at
Cle cos (Bt) + C2e* sin(8t)
Write your answers in the blanks provided below:
α =
B =
8 =
C1 =
Y =
C2 =
Transcribed Image Text:Q 5.31 A spring with a mass of 9 kg and a damping constant of 3 exhibits the ability to be extended 1.5 meters beyond its equilibrium position when subjected to a force of 4.5 newtons. If the spring is elongated by 3 meters beyond its equilibrium position and subsequently released with an initial velocity of zero. In terms of the text notation, what is the value of the following: c^(2) - 4mk? Write your answer in the blank provided below: _(m^(2)kg^(2))/sec^(2) determine the position of the mass(in units of meters), after t seconds. Your response should be a function of the variable t with the general form: at Cle cos (Bt) + C2e* sin(8t) Write your answers in the blanks provided below: α = B = 8 = C1 = Y = C2 =
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