5.36 The turning dynamics of an automobile are [1] v= C₂+ CR mu v+ CAL-CELE Ju (CRLR - CELF - u)r + CE OF mu V CL+CL CL Ju +CELE OF where u and v are the forward and lateral components of the vehicle's velocity (in m/s), r is the vehicle's yaw (turning) rate (in rad/s), and 6 is the steering angle of the front tire (in rad). For this problem, forward speed u is constant. The remaining system parameters are vehicle mass m, vehicle moment of inertia (yaw axis) J, front- and rear-tire cornering stiffness coefficients CF and CR, and moment arms from the center of mass to front and rear axles LF and LR. Obtain a complete SSR. The three outputs are lateral velocity v, yaw rate r, and lateral acceleration alat = +ru. The single input is the front-wheel steering angle og.
5.36 The turning dynamics of an automobile are [1] v= C₂+ CR mu v+ CAL-CELE Ju (CRLR - CELF - u)r + CE OF mu V CL+CL CL Ju +CELE OF where u and v are the forward and lateral components of the vehicle's velocity (in m/s), r is the vehicle's yaw (turning) rate (in rad/s), and 6 is the steering angle of the front tire (in rad). For this problem, forward speed u is constant. The remaining system parameters are vehicle mass m, vehicle moment of inertia (yaw axis) J, front- and rear-tire cornering stiffness coefficients CF and CR, and moment arms from the center of mass to front and rear axles LF and LR. Obtain a complete SSR. The three outputs are lateral velocity v, yaw rate r, and lateral acceleration alat = +ru. The single input is the front-wheel steering angle og.
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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Hi there, could you help me solve for the complete SSR for this problem? If you could include detailed steps that would be amazing! Please and thank you.
![5.36 The turning dynamics of an automobile are [1]
v=
CE + CR
mu
v+
(CRLE - CELE - u)r + = 120
C₂
SF
m
mu
CAL CELE
Ju
where u and v are the forward and lateral components of the vehicle's velocity (in m/s), r is the vehicle's
yaw (turning) rate (in rad/s), and 6 is the steering angle of the front tire (in rad). For this problem,
forward speed u is constant. The remaining system parameters are vehicle mass m, vehicle moment of
inertia (yaw axis) J, front- and rear-tire cornering stiffness coefficients CF and CR, and moment arms
from the center of mass to front and rear axles LF and LR.
CALE + CELE+CLE OF
Ju T
r+
V
Obtain a complete SSR. The three outputs are lateral velocity v, yaw rater, and lateral acceleration
alat = +ru. The single input is the front-wheel steering angle 8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4739784-109c-48c9-83a4-766a8635bb5e%2F44985b06-5fd3-41ba-95de-9073e0753829%2Fusnyc9w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.36 The turning dynamics of an automobile are [1]
v=
CE + CR
mu
v+
(CRLE - CELE - u)r + = 120
C₂
SF
m
mu
CAL CELE
Ju
where u and v are the forward and lateral components of the vehicle's velocity (in m/s), r is the vehicle's
yaw (turning) rate (in rad/s), and 6 is the steering angle of the front tire (in rad). For this problem,
forward speed u is constant. The remaining system parameters are vehicle mass m, vehicle moment of
inertia (yaw axis) J, front- and rear-tire cornering stiffness coefficients CF and CR, and moment arms
from the center of mass to front and rear axles LF and LR.
CALE + CELE+CLE OF
Ju T
r+
V
Obtain a complete SSR. The three outputs are lateral velocity v, yaw rater, and lateral acceleration
alat = +ru. The single input is the front-wheel steering angle 8.
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