The figure shows a pendulum with length L that makes a maximum angle 60 with the vertical. Using Newton's Sec- ond Law, it can be shown that the period T (the time for one complete swing) is given by dx |L (=/2 T= 4. VI- k? sin?x where k = sin(}00) and g is the acceleration due to gravity. If L = 1 m and Oo = 42°, use Simpson's Rule with n = 10 to find the period. --

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The figure shows a pendulum with length L that makes a
maximum angle 60 with the vertical. Using Newton's Sec-
ond Law, it can be shown that the period T (the time for
one complete swing) is given by
dx
|L (=/2
T= 4.
VI- k? sin?x
where k = sin(}00) and g is the acceleration due to gravity.
If L = 1 m and Oo = 42°, use Simpson's Rule with n = 10
to find the period.
--
Transcribed Image Text:The figure shows a pendulum with length L that makes a maximum angle 60 with the vertical. Using Newton's Sec- ond Law, it can be shown that the period T (the time for one complete swing) is given by dx |L (=/2 T= 4. VI- k? sin?x where k = sin(}00) and g is the acceleration due to gravity. If L = 1 m and Oo = 42°, use Simpson's Rule with n = 10 to find the period. --
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