A light string is stretched to a tension T0 between two fixed points A and B a distance (n + 1)a apart, and n particles of mass m are attached to the string at equally spaced intervals. The system performs small plane transverse oscillations.
Show that the normal frequencies satisfy the same determinantal equation as in the previous question, except that now cos θ = 1 - (maω2/2T0). Find the normal frequencies of the system.