The pendulum in a grandfather clock makes one complete swing every 2 seconds. The maximum angle that that pendulum makes with respect to its rest position is 10 degrees. We know from physical principles that the angle between the pendulum and its rest position changes in simple harmonic fashion.
a. Find an equation that describes the size of the angle as a function of time. (take t = 0 to be a time when the pendulum is vertical.
b. What angle is the pendulum after 1.5 seconds?