SOLVED:The figure shows a pendulum with length L that makes a maximum angle θ0 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 T=4 √((L)/(g)) ∫0^π/ 2 (d x)/(√(1-k^2 sin^2 x)) where k=sin((1)/(2) θ0) and g is the acceleration due to gravity. If L=1 m and θ0=42^∘, use Simpson's Rule with n=10 to find the period.
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