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leoflc
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Homework Statement
The problem:
A fishing boat weighing 147,150 N is towed by a much larger ship. The tow cable is linearly elastic and elongates 0.0278 m for each 1000 N of tension in it. The wave and viscous drag on the fishing boat can be assumed to be linearly proportional to its velocity, and equal to 55,000 N-s/m. At time t=0, the larger tow ship starts moving with constant velocity, V_o = 2 m/s. There is no initial slack in the cable.
Homework Equations
Fing an expression for the fishing boat displacement, x, as a function of time. Plot the displacement of both boats on the same graph.
The Attempt at a Solution
So I have:
M=147150
B=55000
K=(1000/0.0278)=35971 N/m
The diff-eq I found:
Mx''+Bx'+Kx=k(V_o)t
but when I try to solve the diff-eq, I have some non-real number, which doesn't seem right. What should I do?
Thank you very much!