An automobile, weighing 1000 lb empty and 3000 Ib fully loaded, vibrates in a vertical direction while traveling at 55 mph on a rough road having a sinusoidal waveform with an amplitude Y ft and a period 12 ft. Assuming that the automobile can be modeled as a single-degree-of-freedom system with stiffness 30,000 lb/ft and damping ratio of 0.2, determine the amplitude of vibration of the automobile when it is (a) empty and (b) fully loaded.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1. An automobile, weighing 1000 Ib empty and 3000 lb fully loaded, vibrates in a vertical direction while
traveling at 55 mph on a rough road having a sinusoidal waveform with an amplitude Y ft and a period
12 ft. Assuming that the automobile can be modeled as a single-degree-of-freedom system with
stiffness 30,000 Ib/ft and damping ratio of 0.2, determine the amplitude of vibration of the automobile
when it is (a) empty and (b) fully loaded.
Transcribed Image Text:1. An automobile, weighing 1000 Ib empty and 3000 lb fully loaded, vibrates in a vertical direction while traveling at 55 mph on a rough road having a sinusoidal waveform with an amplitude Y ft and a period 12 ft. Assuming that the automobile can be modeled as a single-degree-of-freedom system with stiffness 30,000 Ib/ft and damping ratio of 0.2, determine the amplitude of vibration of the automobile when it is (a) empty and (b) fully loaded.
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