Advanced physics

string fora! mass = M: a) b) Figure 1 a) a. teniianed cubic: and b) an nDOP [striped parameter made! qftlye tensianed table For this cable we have been given the following parameters: L=4m M5=4kg T=1000N a) We novar wish to investigate the dynamics using a continuous model of the system. The continuous equation of motion for the string in Figure 1a is given by: 2 2 p a if: t) Ta $5: 0 : f(x. c) Derive the characteristic equation for this system using force equilibrium on a differential element. What is the transcendental solution to this characteristic equation? b) What are the expressions for the natural frequencies and the mode shapes