Answer to Question #61828 in Physics for DEVENDRA SINGH

Question

Consider N identical masses connected through identical springs of force constant k.
The free ends of the coupled system are rigidly fixed at x = 0 and x = l. The masses
are made to execute longitudinal oscillations on a frictionless table.
i) Depict the equilibrium as well as instantaneous configurations.
ii) Write down their equations of motion, decouple them and obtain frequencies of
normal modes.