/2 dx T = 4, VI - k-sin?x where k = sin (0o) and gis the acceleration due to gravity. If L= 1m and 8, = 42°, use Simpson's Rule with n= 10 to find the period.

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 shows a pendulum with length L that makes a maximum angle θ0 with the vertical. Using Newton's Second Law, it can be shown that the period (the time for one complete swing) is given by

/2
dx
T = 4,
VI - k-sin?x
where k = sin (0o) and gis the acceleration due to gravity. If L= 1m and
8, = 42°, use Simpson's Rule with n= 10 to find the period.
Transcribed Image Text:/2 dx T = 4, VI - k-sin?x where k = sin (0o) and gis the acceleration due to gravity. If L= 1m and 8, = 42°, use Simpson's Rule with n= 10 to find the period.
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