A metal spring with a constant of k = 300N/m is subjected to a vertical stress S(e) shown in the table. Estimate the stress (N) exerted at an elongated distance e (cm) of 3cm using Newton's Interpolation. (Answers should be in 3 decimal places) e S(e) A f(x) Af"(x) A f"(x) A f"(x) Af"(x) 0.5 0.38775 1 0.769 1.5 0.81275 2 0.519 2.5 0.21775 3.5 2.56275 S(3) = 0.569
A metal spring with a constant of k = 300N/m is subjected to a vertical stress S(e) shown in the table. Estimate the stress (N) exerted at an elongated distance e (cm) of 3cm using Newton's Interpolation. (Answers should be in 3 decimal places) e S(e) A f(x) Af"(x) A f"(x) A f"(x) Af"(x) 0.5 0.38775 1 0.769 1.5 0.81275 2 0.519 2.5 0.21775 3.5 2.56275 S(3) = 0.569
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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Transcribed Image Text:QUESTION 4
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A metal spring with a constant of k = 300N/m is subjected to a vertical stress S(e) shown in the table. Estimate the stress (N) exerted at an elongated
distance e (cm) of 3cm using Newton's Interpolation. (Answers should be in 3 decimal places)
e S(e)
A f'(x)
A f"(x)
A f"(x)
A f"(x)
A f"'(x)
0.5 0.38775
1 0.769
1.5 0.81275
2 0.519
2.5 0.21775
3.5 2.56275
S(3) = 0.569
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