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coolhristo
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A boat and trailer are being pulled along a bumpy road at a velocity v. The contour of the road can be approximated by a sine wave with a wavelength l of 10ft and an amplitude y of .5 in. the deflection of the springs in the trailer due to the boats weight is 1.5in. the damping of the system is viscous in nature and has a magnitude of = .05.
What is the speed v at which the amplitude of the boat and trailer will be a maximum?
What is the value of the amplitude at this speed?
What is the amplitude when the boat and trailer are traveling at the speed of 55 mph?
This is supposed to be modeled as an underdamped spring-damper system.
I tried solving this problem by writing the equation of moment which I got to be:
mxdd + cxd + kx = ky + cyd (d denotes derivative)
I don't know if this is right as this is saying that the road is the input in the transfer function analysis but this is what I believe the professor said to do. I got wn ^2 = k/m = 257.6 from mg = kdelta. (delta = deflection) Now I am stuck because i cannot cancel any of the unknown variables.
Thanks in advance
What is the speed v at which the amplitude of the boat and trailer will be a maximum?
What is the value of the amplitude at this speed?
What is the amplitude when the boat and trailer are traveling at the speed of 55 mph?
This is supposed to be modeled as an underdamped spring-damper system.
I tried solving this problem by writing the equation of moment which I got to be:
mxdd + cxd + kx = ky + cyd (d denotes derivative)
I don't know if this is right as this is saying that the road is the input in the transfer function analysis but this is what I believe the professor said to do. I got wn ^2 = k/m = 257.6 from mg = kdelta. (delta = deflection) Now I am stuck because i cannot cancel any of the unknown variables.
Thanks in advance