Here is a simplified model of vehicle suspension system. The vehicle is being driven on the road below. The profile of the road and the velocity of the car in the horizontal direction are given. A road with such a profile will create an oscillation in the body of the car (the oscillation is denoted by y(t)). 1) Please obtain the magnitude of y(t) as a function of k and c. 2) Assume the mass of the car as 1 kg, k=10 N/m and c=2 Ns/m. What should the velocity of the car be to make |y(t)| less than 0.001 m?
Here is a simplified model of vehicle suspension system. The vehicle is being driven on the road below. The profile of the road and the velocity of the car in the horizontal direction are given. A road with such a profile will create an oscillation in the body of the car (the oscillation is denoted by y(t)). 1) Please obtain the magnitude of y(t) as a function of k and c. 2) Assume the mass of the car as 1 kg, k=10 N/m and c=2 Ns/m. What should the velocity of the car be to make |y(t)| less than 0.001 m?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Here is a simplified model of vehicle suspension system. The
vehicle is being driven on the road below. The profile of the road
and the velocity of the car in the horizontal direction are given.
A road with such a profile will create an oscillation in the body of
the car (the oscillation is denoted by y(t)).
1 y
1) Please obtain the magnitude of y(t) as a function of k and c.
2) Assume the mass of the car as 1 kg, k=10 N/m and c=2 Ns/m.
What should the velocity of the car be to make ly(t)| less
Vx = 3 m/s
than 0.001 m?
X : horizontal distance in meters
sin(4x)
the profile of the road
in meters
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