Given the mechanical system shown where Xi(t) is the input and X2(t) is the output of the system, whose differential equation is: 

a) Using the differential equation shown, obtain the block diagram of the plant in such a way that it is possible to monitor the speed, and obtain the transfer function

b) What is the value of the gain, natural frequency and damping factor of the system

c) Using simulink, obtain the response curve to position and speed in open loop of the output considering that the input is step type magnitude 5, k = 1 and beta = 1
 

TEL (1) .., (t) B T