The figure shows a pendulum with length L that makes a maximum angle θ0 with the vertical.

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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 T (the time for one complete swing) is given by where k = sin (½θ0) and is the acceleration due to gravity. If L = 1 m and θ0, = 42o use Simpson€™s Rule with to find the period.


L pun g Jo VI- k2 sin?x dx T = 4

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