Consider a pendulum with a harmonically driven pivot. The equation of motion is where aa(t) = Ao sin(2nt/Tz) is the time-varying acceleration of the pivot. Write a C++ program that simulates this system; be sure to use a time-step appropriate to the driving period Td. Show that when the amplitude of the driving acceleration is sufficiently high (Ao g), the pendulum is stable in the inverted position [i.e., if ( 0) 180, then the pendulum oscillates about the point -180]. Consider a pendulum with a harmonically driven pivot. The equation of motion is where aa(t) = Ao sin(2nt/Tz) is the time-varying acceleration of the pivot. Write a C++ program that simulates this system; be sure to use a time-step appropriate to the driving period Td. Show that when the amplitude of the driving acceleration is sufficiently high (Ao g), the pendulum is stable in the inverted position [i.e., if ( 0) 180, then the pendulum oscillates about the point -180]