A damped spring-mass system is subjected to a force F(t) = 10 cos(3 t) N. The system has the following valu mass m-100+nı kg (where ni is the last digit of your ID number), stiffness k = 900+n N/m (where n2 is the summation of the last two digits of your ID number). Note that, to obtain the damping ratio from the bode plot you can use the amplitude ratio as 0.8 and the frequency ratio as 1.2. Find the following
A damped spring-mass system is subjected to a force F(t) = 10 cos(3 t) N. The system has the following valu mass m-100+nı kg (where ni is the last digit of your ID number), stiffness k = 900+n N/m (where n2 is the summation of the last two digits of your ID number). Note that, to obtain the damping ratio from the bode plot you can use the amplitude ratio as 0.8 and the frequency ratio as 1.2. Find the following
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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n1=969
![A damped spring-mass system is subjected to a force F(t) = 10 cos(3 t) N. The system has the following valu
mass m-100+ni kg (where ni is the last digit of your ID number),
stiffness k 900+n2 N/m (where n is the summation of the last two digits of your ID number).
Note that, to obtain the damping ratio ( from the bode plot you can use the amplitude ratio as 0.8 and the
frequency ratio as 1.2. Find the following](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0280cc21-8041-4b35-83af-094302e775e5%2Fba06ff59-9be4-42fa-8f31-a6134b8a341d%2Fen2m07n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A damped spring-mass system is subjected to a force F(t) = 10 cos(3 t) N. The system has the following valu
mass m-100+ni kg (where ni is the last digit of your ID number),
stiffness k 900+n2 N/m (where n is the summation of the last two digits of your ID number).
Note that, to obtain the damping ratio ( from the bode plot you can use the amplitude ratio as 0.8 and the
frequency ratio as 1.2. Find the following
![1. the damping ratio
2. the natural frequency w
3. the damped natural frequency wa = wn V1-
4. the damping constant c.
5. the forced amplitude Fo
6. the forced frequency w
7. the mass normalized force, fo3Fo/m
8. the total system response function x(t). Use the formula:
x(1)- Ae sin (@,t + d + X cos (of
%3D
where. A= -0.03 m, ø = 4 * 10-³rad, and X-0.033 m
28
(= 0.1
2.4
2.0
16
E0 = 5-
0.4
12
10
-0.5
08
=2.0
= 30-
04
0 0.4
0.8 1.2
1.0
16 2.0 2.4 2.8 3.2
Frequency ratio:r=
Amplitude ratio: M=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0280cc21-8041-4b35-83af-094302e775e5%2Fba06ff59-9be4-42fa-8f31-a6134b8a341d%2Fa4hwlw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. the damping ratio
2. the natural frequency w
3. the damped natural frequency wa = wn V1-
4. the damping constant c.
5. the forced amplitude Fo
6. the forced frequency w
7. the mass normalized force, fo3Fo/m
8. the total system response function x(t). Use the formula:
x(1)- Ae sin (@,t + d + X cos (of
%3D
where. A= -0.03 m, ø = 4 * 10-³rad, and X-0.033 m
28
(= 0.1
2.4
2.0
16
E0 = 5-
0.4
12
10
-0.5
08
=2.0
= 30-
04
0 0.4
0.8 1.2
1.0
16 2.0 2.4 2.8 3.2
Frequency ratio:r=
Amplitude ratio: M=
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