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Unformatted text preview: Engineering Mechanics  Dynamics ω = 2π f Chapter 22 ω = 43.98 Using Eq. 2222, the amplitude is rad
s δ0 xpmax =
1− 2 ⎛ω⎞
⎜ω ⎟
⎝ n⎠ xpmax = 1.89 in Problem 2250
A trailer of mass M is pulled with a constant speed over the surface of a bumpy road, which
may be approximated by a cosine curve having an amplitude a and wave length 2d. If the
two springs s which support the trailer each have a stiffness k, determine the speed v which
will cause the greatest vibration (resonance) of the trailer. Neglect the weight of the wheels.
Given:
M = 450 kg
k = 800 N
m d =2m
a = 50 mm
Solution:
p= 2k
M τ= 2π
p τ = 3.33 s For maximum vibration of the trailer, resonance must occur,
Thus the trailer must travel so that vR = 2d τ ω=p vR = 1.20 m
s Problem 2251
The trailer of mass M is pulled with a constant speed over the surface of a bumpy road, which
may be approximated by a cosine curve having an amplitude a and wave length 2d. If the two
springs s which support the trailer each have a stiffness k, determine the amplitude of vibration
of the trailer if the speed is v. 821 ...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.
 Spring '08
 ChristianFeldt
 Dynamics

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