Answer Happy

Problem 3. Consider a set of pendulums linked together as shown in the figure. For pose this problem and identify the normal modes and frequencies you will proceed from the following way: A)Consider the case N=1. Write the position of the mass m as Ti = (11, yı) and find the lagrangian in this case. B) Find the mass matrix M, and the potential matrix V. Use the algorithm seen in classes to find the normal frequencies of this problem. C) Repeat (a) and (b) for N=2 and write the M. and Vin order. D) Repeat (a) and (b) for N=3 and write the matrices M. and V. in order. E) Write the matrices M, and V. for arbitrary N. 02 m