823_Dynamics 11ed Manual

823_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics ω = 2π f Chapter 22 ω = 43.98 Using Eq. 22-22, the amplitude is rad s δ0 xpmax = 1− 2 ⎛ω⎞ ⎜ω ⎟ ⎝ n⎠ xpmax = 1.89 in Problem 22-50 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 22-51 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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