The following diagram depicts a simple pendulum of length L and mass m. Assuming-small vibrations and no resisting force. 1. Write the generalized coordinated for the system. 2. Write the

generalized velocities for the system. 3. Write the Lagrange Function. 4. Use the Lagrange Equation to find the differential equation that describes the behavior of the system 5. What is the general solution of the differential equation you derived?