A translational mechanical system is shown in Figure Q1. In this system, u(t) is the displacement of the cart and the input to the system. The displacement y(t) of the mass relative to the ground is the output. Q1 (a) Determine the mathematical model of the system. (b) Using the result in Q1(a), determine a transfer function of the system. Massless Cart k m Figure Q1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A translational mechanical system is shown in Figure Q1. In this system,
u(t) is the displacement of the cart and the input to the system. The
displacement y(t) of the mass relative to the ground is the output.
Q1
(a)
Determine the mathematical model of the system.
(b)
Using the result in Q1(a), determine a transfer function of the system.
Massless Cart
k
m
Figure Q1
Transcribed Image Text:A translational mechanical system is shown in Figure Q1. In this system, u(t) is the displacement of the cart and the input to the system. The displacement y(t) of the mass relative to the ground is the output. Q1 (a) Determine the mathematical model of the system. (b) Using the result in Q1(a), determine a transfer function of the system. Massless Cart k m Figure Q1
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