11. (10 points) Write a function called pendulum that is called like this: T = pendulum (L, ae), where all arguments are scalars and ao is a positive number less than 1. The function calculates the period T of a simple pendulum, which is the time required for a weight attached to a rod of length L and negligible weight to start from rest, swing with no friction under the influence of gravity from an initial angle ao, to - ae and back to ao again, as shown in the figure. The motion is determined by physics using the following definitions, where units [square brackets] are provided but are not needed: 0 = angle (radians] w= angular velocity (radians/s] a = angular acceleration (radians/s] g=acceleration due to gravity =9.8 [m/s] me [s] ta