1. The problem statement, all variables and given/known data m = 1 kg, l = 1 m, theta 1 and 2 are small I want to work out the natural frequencies (2) of this 2 DOF system through taking torques about the fixed point on the ceiling. I've done it using numerous fixed points and just cannot get the right answer. 2. Relevant equations sum of torques = I . alpha 3. The attempt at a solution Taking that cos theta = 1 and sin theta or tan theta = theta and acw moments are pos, I get that for the lowest mass: -mg (theta 2 + theta 1) + T2(theta1 + theta 2) - 2T2theta2 = 4alpha for highest mass: -mgtheta1 - T2theta1 + theta2T2 = alpha. Does anyone else get this? I want to solve it via torques and not any other method. NB: T2 = tension in lowest massless string.