1. Answer the following. Make sure to show every step of your work. Using the method other than mentioned in the problems below will result in zero eredit. a. Find the equation of motion of the system below using Lagrange's equation and find the natural frequency at the end. Assume that the rod is massless. b. Find the equation of motion of the system below using Lagrange's equation. Masses my, mz, and m3 are added to the compound pendulums with rod masses m,,, my,, and m,,, respectively. Assume the mass of all pendulums are evenly distributed =so that their center of gravity is in the middle of the pendulum of length L. Use the small angle assumption. b B