Amassless string of length 2l +d is stretched between two fixed points at a tension t. a bead of mass m is attached to the string a distance l from each end of the string (i. e. the two beads are a distance d apart) (a) show that small transverse displacements y1 and y2 of the two beads obey 12 marks] (b) find the normal mode frequencies for this system, and describe physically the corre- 3 marks] sponding motions of the beads.