B4 • Assuming that the front seats with passengers strapped inside can be modelled as mass-spring model (mp, kp) attached to the bar as shown in Figure 3, derive the equations ofmotions of this system in matrix form. Include a brief discussion of the main benefits of thismodel compared to the pitch and bounce model shown in Figure 2.• Suggestion for two further changes to the model that can improve the accuracy of the pitchand bounce characteristics. Justify your choice and indicate the general layout of theimproved system.rollersmpZAKpbar (m, Ia)CoGk,b.aFigure 3. Pitch and bounce model considering front seats and passengers

Given: To find: Equation of motion

Assuming that the front seats with passengers strapped inside can be modelled as mass- spring model (mp, kp) attached to the bar as shown in Figure 3, derive the equations of motions of this system in matrix form. Include a brief discussion of the main benefits of this model compared to the pitch and bounce model shown in Figure 2.

Assuming that the front seats with passengers strapped inside can be modelled as mass- spring model (mp, kp) attached to the bar as shown in Figure 3, derive the equations of motions of this system in matrix form. Include a brief discussion of the main benefits of this model compared to the pitch and bounce model shown in Figure 2.

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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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

• Assuming that the front seats with passengers strapped inside can be modelled as mass-
spring model (mp, kp) attached to the bar as shown in Figure 3, derive the equations of
motions of this system in matrix form. Include a brief discussion of the main benefits of this
model compared to the pitch and bounce model shown in Figure 2.
• Suggestion for two further changes to the model that can improve the accuracy of the pitch
and bounce characteristics. Justify your choice and indicate the general layout of the
improved system.
rollers
mp
ZA
Kp
bar (m, Ia)
CoG
k,
b.
a
Figure 3. Pitch and bounce model considering front seats and passengers

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