In problem if the two masses are made equal show that

Question

In Problem, if the two masses are made equal, show that normal mode frequencies are Establish the configuration for these normal modes.

ω=√(T/ml) and ω₂=√(3T/ml)

Prob. 5-11

Two masses, m1 and m2, are attached to a light string with tension T, as shown in Figure . Assuming that T remains unchanged when the masses are displaced normal to the string, write the equations of motion expressed in matrix form.