A simple pendulum with a length of 1.43 m and a mass of 6.89 kg is given an initial speed of 1.66 m/s at its equilibrium position. (a) Assuming it undergoes simple harmonic motion, determine its period (in s). 5 (b) Determine its total energy (in J). J (c) Determine its maximum angular displacement (in degrees). (For large v, and/or small, the small angle approximation may not be good enough here.) (d) What If? Based on your answer to part (c), by what factor would the total energy of the pendulum have to be reduced for its motion to be described as simple harmonic motion using the small angle approximation where 8 10?