Consider a simple pendulum with L = 5.2 m and m = 3.3 kg. It is given an initial displacement y = +0.15 m (as measured along the circular arc along which it moves) and an initial velocity of +0.20 m/s. 

(a) What is the total mechanical energy of the oscillator? 

(b) What is the amplitude of the motion as measured along the circular arc followed by the pendulum mass? 

(c) What is the speed of the mass when it passes through the lowest point on its trajectory? 

(d) Suppose the initial velocity is instead equal to -0.20 m/s. How would the answers to parts (a), (b), and (c) change?