Seen in Figure 1, a small cart (with mass m and position 2) is riding inside a larger cart, which is massless, andhas a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another springconnects the exterior of the large massless cart to an input position, .Forsimilar to the one in Homework 2, Problem 1. It has the same equations ofthe equations of motion - please reference the solutions. Given this,motion.Your tasks:XuimX1+CmX2(O O OA. Draw FBD and write equations of motionB. Find the state-space equations for the systemin matrix form using x1 and x2 and their derivativesand also represent the mechanical system in 2nd order matrix formuations for the system inorm using a, and #2 and their derivatives.nd 2 and their derivatives.

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Answered: Seen in Figure 1, a small cart (with…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Seen in Figure 1, a small cart (with mass m and position 2) is riding inside a larger cart, which is massless, and
has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring
connects the exterior of the large massless cart to an input position, .
For
similar to the one in Homework 2, Problem 1. It has the same equations of
the equations of motion - please reference the solutions. Given this,
motion.
Your tasks:
Xu
im
X1
+
C
m
X2
(
O O O
A. Draw FBD and write equations of motion
B. Find the state-space equations for the system
in matrix form using x1 and x2 and their derivatives
and also represent the mechanical system in 2nd order matrix form
uations for the system in
orm using a, and #2 and their derivatives.
nd 2 and their derivatives.

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