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The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)

Sagot :

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Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

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