Assume that we conduct an experiment with this system 1. Use the concept of conservation of total energy to find the equation of motion. Linearize the EOM and find the natural frequency. ii. If the system is given an initial angular deflection of 0.3 radians and released. Over time the oscillation amplitude becomes smaller due to damping. After 6 cycles of vibration the maximum angle of motion has reduced to 0.09 radians. What is the approximate damping ratio of the system? (5.0 points)