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## A mass with mass 4 is attached to a spring with spring constant 25.5625 and a dashpot giving a damping 20. The mass is set in motion with in

Question

A mass with mass 4 is attached to a spring with spring constant 25.5625 and a dashpot giving a damping 20. The mass is set in motion with initial position 1 and initial velocity 0. (All values are given in consistent units.) Find the position function x(t):

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Physics
2 months
2021-07-30T03:05:02+00:00
2021-07-30T03:05:02+00:00 1 Answers
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## Answers ( )

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:

[tex]\\[/tex]

at t = 0, x = 1

at t = 0

x’ =0

[tex]C_2=6.76[/tex]