Question
Asked Oct 30, 2019
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. A 500-kg is traveling at a speed of 45 m/s when it encounters a bump in the road as illustrated. The static deflection of the suspension is 7.2 mm. Express the excitation as a function of time in [0;+infinity), and using the response table to determine the vertical displacement of the vehicle,x(t)

2. A 500-kg is traveling at a speed of 45 m/s when it encounters a bump in the road as illustrated
The static deflection of the suspension is 7.2 mm. Express the excitation as a function of
time in [0, +oo), and using the response table to determine the vertical displacement of the
vehicle, rt)
d 10 mm
sinusoidal
l 0.5 m
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2. A 500-kg is traveling at a speed of 45 m/s when it encounters a bump in the road as illustrated The static deflection of the suspension is 7.2 mm. Express the excitation as a function of time in [0, +oo), and using the response table to determine the vertical displacement of the vehicle, rt) d 10 mm sinusoidal l 0.5 m

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Expert Answer

Step 1

Given data:

The mass of the object = 500 kg

Speed = 45 m/s

The static deflection of the suspension = 7.2 mm

Step 2

Calculate the stiffness of the spring.

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k т mg k (500)(9.81) (7.2) k k 681.25kN/m

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Step 3

Calculate the angu...

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m(t)+k(x-y)0 Here, y ysinwt mikx = ky yo=10 mm 27T 0.5 45 w 180 rad/s

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