2.25 An engineer wants to develop mathematical models for two mechanical springs. She loads the springs (in tension and compression), measures their static deflections, and compiles the results in Table P2.25. Use MATLAB's polyfit command to determine spring-force modeling equations for 8 mm and include each spring. Plot both spring-model equations for deflections ranging from -8 to the data points from Table P2.25 on your plot. Comment on whether the springs exhibit linear or nonlinear relationships. TABLE P2.25 Load force (N) Spring #1 deflection (mm) Spring #2 deflection (mm) 0 0 0 10 15 25 35 45 50 -10 -15 -25 -35 -45 -50 1.2482 1.8822 3.1938 4.6099 6.2354 7.2055 -1.2482 -1.8822 -3.1938 -4.6099 -6.2354 -7.2055 1.1682 1.7523 2.9206 4.0888 5.2570 5.8411 -1.1682 -1.7523 -2.9206 -4.0888 -5.2570 -5.8411

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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2.25 An engineer wants to develop mathematical models for two mechanical springs. She loads the
springs (in tension and compression), measures their static deflections, and compiles the results in
Table P2.25. Use MATLAB's polyfit command to determine spring-force modeling equations for
each spring. Plot both spring-model equations for deflections ranging from -8 to 8 mm and include
the data points from Table P2.25 on your plot. Comment on whether the springs exhibit linear or
nonlinear relationships.
TABLE P2.25
Load force (N) Spring #1 deflection (mm) Spring #2 deflection (mm)
0
0
O
10
15
25
35
45
50
-10
-15
-25
-35
-45
-50
1.2482
1.8822
3.1938
4.6099
6.2354
7.2055
-1.2482
-1.8822
-3.1938
-4.6099
-6.2354
-7.2055
1.1682
1.7523
2.9206
4.0888
5.2570
5.8411
-1.1682
-1.7523
-2.9206
-4.0888
-5.2570
-5.8411
Transcribed Image Text:2.25 An engineer wants to develop mathematical models for two mechanical springs. She loads the springs (in tension and compression), measures their static deflections, and compiles the results in Table P2.25. Use MATLAB's polyfit command to determine spring-force modeling equations for each spring. Plot both spring-model equations for deflections ranging from -8 to 8 mm and include the data points from Table P2.25 on your plot. Comment on whether the springs exhibit linear or nonlinear relationships. TABLE P2.25 Load force (N) Spring #1 deflection (mm) Spring #2 deflection (mm) 0 0 O 10 15 25 35 45 50 -10 -15 -25 -35 -45 -50 1.2482 1.8822 3.1938 4.6099 6.2354 7.2055 -1.2482 -1.8822 -3.1938 -4.6099 -6.2354 -7.2055 1.1682 1.7523 2.9206 4.0888 5.2570 5.8411 -1.1682 -1.7523 -2.9206 -4.0888 -5.2570 -5.8411
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