A .200 kg plum bob is attached to a string and the string isconnected to the ceiling. The distance from the ceiling tothe center of mass of the plum bob is 1.00m. The plum bob isdisplaced 8.00cm and released. After 500 cycles it isobserved that the amplitude has decreased by 50%.
a) What is the damping constant?
b) How many cycles does it take for the plum bob to lose halfof its energy?