1. The problem statement, all variables and given/known data So, a string with length L and a mass of M is given tension T. Find the frequencies of the smallest three modes of transverse motion. Then compare with a massless string with the same tension and length, but there are 3 masses of M/3 equally spaced. So this is problem #1 http://www.physics.purdue.edu/~jones105/phys42200_Spring2013/Assignment_5_Spring2013.pdf 2. Relevant equations ν * λ = velocity velocity = sqrt(T * L / M) νn = nν1 n = 1, 2, 3 ν1 = √(T/(4ML)) 3. The attempt at a solution I tried using coupled oscillators and the equation for finding the frequencies. ωq=2ω0|sin(q/2)| q = nπ/(N+1) where n is the index and N is the number of particles This does not give me the correct answer. The correct answer is: .84ν1, 1.55ν1, and 2.04ν1.