4- The work done by a force is: Work=force-distance. If the force is variable, we have: Work= F(x) dx where F is the force, xo is the initial and xn is the final position the force is applied. The force is measured at discrete x₁ locations as presented in the table. Calculate the work done using a suitable combination of Simpson's 1/3 and the Simpson's 3/8 rules. F(x) Xo Area Work Xn X i 0 1 2 3 4 5 6 7 608 9 10 11 Xi, m 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 F₁, N 2.595093 15.98851 39.13269 57.72181 73.00438 82.45512 95.16424 101.2026 96.65242 93.89335 81.54573 75.44009
4- The work done by a force is: Work=force-distance. If the force is variable, we have: Work= F(x) dx where F is the force, xo is the initial and xn is the final position the force is applied. The force is measured at discrete x₁ locations as presented in the table. Calculate the work done using a suitable combination of Simpson's 1/3 and the Simpson's 3/8 rules. F(x) Xo Area Work Xn X i 0 1 2 3 4 5 6 7 608 9 10 11 Xi, m 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 F₁, N 2.595093 15.98851 39.13269 57.72181 73.00438 82.45512 95.16424 101.2026 96.65242 93.89335 81.54573 75.44009
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:4- The work done by a force is: Work=forcexdistance. If the force is variable, we have:
Work= [ F (x)dx
where F is the force, x, is the initial and x, is the final position the force is applied. The force
is measured at discrete x; locations as presented in the table. Calculate the work done using
a suitable combination of Simpson's 1/3 and the Simpson's 3/8 rules.
F(x)
Xi , m
Fi, N
2.595093
1
0.1
15.98851
2
0.2
39.13269
3
0.3
57.72181
4
0.4
73.00438
5
0.5
82.45512
0.6
95.16424
Area=Work
7
0.7
101.2026
8
0.8
96.65242
9
0.9
93.89335
X
10
1
81.54573
Хо
Xn
11
1.1
75.44009
Note: Writing program codes for the solution of problems is highly recommended
(You can use any programming language of your choice).
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