Consider the shown arrangement in which a thin rope ‘A’ with a linear density m_{A} is connected to a thick rope ‘B’ with linear mass density m_{B}. _{b} = 4 kg/m, m_{a} = 0.4 kg/m, M = 1 kg and L = 4l = 1 m. Under these conditions, find:

- The least possible frequency of vibration
- The total energy of vibration if the amplitude for both the string is A = 1 mm and the string vibrates at the frequency obtained in (a).