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The figure shows a pendulum with length L that makes a maximum angle eo with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is given by pa/2 dx T = 4, g . V1-2 sin²(x) where k = sin00) and g is the acceleration due to gravity. If L = 5 m and 8o = 46°, use Simpson's Rule withn = 10 to find the sin(a) period. (Use g = 9.8 m/s?. Round your answer to five decimal places.)

The figure shows a pendulum with length L that makes a maximum angle eo with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is given by pa/2 dx T = 4, g . V1-2 sin²(x) where k = sin00) and g is the acceleration due to gravity. If L = 5 m and 8o = 46°, use Simpson's Rule withn = 10 to find the sin(a) period. (Use g = 9.8 m/s?. Round your answer to five decimal places.)

Advanced Engineering Mathematics
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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The figure shows a pendulum with length L that makes a maximum angle eo with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is given by ra/2 dx T = 4. V VI-R sin²(x) where k = sin00) and g is the acceleration due to gravity. If L = 5 m and 8o = 46°, use Simpson's Rule withn = 10 to find the period. (Use g = 9.8 m/s?. Round your answer to five decimal places.)
Transcribed Image Text:The figure shows a pendulum with length L that makes a maximum angle eo with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is given by ra/2 dx T = 4. V VI-R sin²(x) where k = sin00) and g is the acceleration due to gravity. If L = 5 m and 8o = 46°, use Simpson's Rule withn = 10 to find the period. (Use g = 9.8 m/s?. Round your answer to five decimal places.)
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