(a) Draw a free-body diagram for each mass. Write the equations of motion in terms of æ(t) and y(t) and their derivatives. Presume zero initial conditions. (b) Take the Laplace transform of the equations of motion for each mass. (c) What is the transfer function with input F(s) and output Y(s)? Substitute the numerical values above, and simplify your expression where possible.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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(a) Draw a free-body diagram for each mass. Write the equations of motion in terms of (t)
and y(t) and their derivatives. Presume zero initial conditions.
(b) Take the Laplace transform of the equations of motion for each mass.
(c) What is the transfer function with input F(s) and output Y(s)? Substitute the numerical
values above, and simplify your expression where possible.
Transcribed Image Text:(a) Draw a free-body diagram for each mass. Write the equations of motion in terms of (t) and y(t) and their derivatives. Presume zero initial conditions. (b) Take the Laplace transform of the equations of motion for each mass. (c) What is the transfer function with input F(s) and output Y(s)? Substitute the numerical values above, and simplify your expression where possible.
2.
Consider the spring mass damper system shown on the next page with m1
|
m2 = 1 kg, k = 1 N/m, and b= 1 N/(ms). Note that you can neglect gravity by considering
deviations from the system at rest.
F(1)
M
m
wwwww
k
Transcribed Image Text:2. Consider the spring mass damper system shown on the next page with m1 | m2 = 1 kg, k = 1 N/m, and b= 1 N/(ms). Note that you can neglect gravity by considering deviations from the system at rest. F(1) M m wwwww k
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