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gure below shows a pendulum with length 2 that makes a maximum angle o with the vertical. //////////// Newton's second law, t can be shown that the period T (the time for one complete swing) is given by Iπ/2 dx T = 4√√²= 6²/ √1-k² sin²(x)' e k= sin( sin ( 21-00) ² and g is the acceleration due to gravity. If L = 2 m and 8 = 46°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s². Round your answer to five decimal places.)

gure below shows a pendulum with length 2 that makes a maximum angle o with the vertical. //////////// Newton's second law, t can be shown that the period T (the time for one complete swing) is given by Iπ/2 dx T = 4√√²= 6²/ √1-k² sin²(x)' e k= sin( sin ( 21-00) ² and g is the acceleration due to gravity. If L = 2 m and 8 = 46°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s². 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 below shows a pendulum with length L that makes a maximum angle theta with the vertical.
The figure below shows a pendulum with length L that makes a maximum angle 8 with the vertical. www 00 A Using Newton's second law, it can be shown that the period T (the time for one complete swing) is given by Lπ/2 dx T = 4 - 4√√√²/² √1-k² sin²(x) * where k = sin( - and g is the acceleration due to gravity. If L = 2 m and 0 = 46°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s2. Round your answer to five decimal places.)
Transcribed Image Text:The figure below shows a pendulum with length L that makes a maximum angle 8 with the vertical. www 00 A Using Newton's second law, it can be shown that the period T (the time for one complete swing) is given by Lπ/2 dx T = 4 - 4√√√²/² √1-k² sin²(x) * where k = sin( - and g is the acceleration due to gravity. If L = 2 m and 0 = 46°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s2. Round your answer to five decimal places.)
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