2. The following diagram depicts a system of a double pendulum with the following dimensions: Mass-1: mass =mı, length = L1 and angel = 01%3D Mass-2: mass = m2, length = L2 and angel = 02%3D Assuming small ng 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?