The figure shows a pendulum with length L that makes a maximum angle theta o 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 the following where k = sin((l/2)theta0) and g is the acceleration due to gravity. If L = 1 m and theta0 = 44 degree, use Simpson's Rule with n = 10 to find the period. (Note: Intermediate rounding can cause your answers to be quite far off. To be safe, if you round any intermediate values do not round them to any less than 10 decimal places (if possible). Give your final answer correct to at least 2 decimal places.)
Show transcribed image textThe figure shows a pendulum with length L that makes a maximum angle theta o 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 the following where k = sin((l/2)theta0) and g is the acceleration due to gravity. If L = 1 m and theta0 = 44 degree, use Simpson's Rule with n = 10 to find the period. (Note: Intermediate rounding can cause your answers to be quite far off. To be safe, if you round any intermediate values do not round them to any less than 10 decimal places (if possible). Give your final answer correct to at least 2 decimal places.)