Archaeologists have unearthed a primitive stringed instrument at the ancient Sumerian city of Lude. The Ludicrous harp, as it's known, consisted of a single 1.6-mlong metal string suspended from the ceiling, with a 3.2-kg mass suspended from the other end. The wire was made of silver (density 10.5 kg/m3), and it was 1.0 mm in diameter.
(a) Compute the fundamental frequency of this instrument?
(b) Find what was the frequency of the second harmonic?
(c) Calculate the speed of a wave along the string?