The figure below shows a pendulum with length L that makes a maximum angle 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 T/2 dx 4√√√²/² √₁-K² sin²(x)* and g is the acceleration due to gravity. If L = 5 m and 8 = 42°, 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.) T= where k= sin(

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The figure below shows a pendulum with length L that makes a maximum angle with the vertical.
00
J
Using Newton's second law, it can be shown that the period T (the time for one complete swing) is given by
dx
T-4√/²= 6"
4₁
a √1 - k² sin²(x)
where k = sin
(1/100)
and g is the acceleration due to gravity. If L = 5 m and 8 = 42°, 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.)
L TT/2
Transcribed Image Text:The figure below shows a pendulum with length L that makes a maximum angle with the vertical. 00 J Using Newton's second law, it can be shown that the period T (the time for one complete swing) is given by dx T-4√/²= 6" 4₁ a √1 - k² sin²(x) where k = sin (1/100) and g is the acceleration due to gravity. If L = 5 m and 8 = 42°, 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.) L TT/2
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