A guitar string is pulled at point P a distance of 3 cm above its rest position. It is then released and vibrates in damped harmonic motion with a frequency of 165 cycles per second. After 2 s, it is observed that the amplitude of the vibration at point P is 0:6 cm.
(a). Find the damping constant.
(b). Find an equation that describes the position of point P above its rest position as a function of time. Take t = 0 to be the instant when the string is released.