A truck is climbing up a hill slowly. Given below are the torque-speed characteristic equations for the engine and load.
For Engine; T = 30N - 175 - 0.3N^2
For Load; T = 11N
where T is in N-m and N is in rps.
The truck continues to drive uphill at the same transmission setting.
(a) Draw the possible information flow diagrams of the system.
(b) Using the method of successive substitution, determine the operating conditions of the truck for all the possible information flow diagrams. (Take the initial guess; T = 400 N-m and N=40 rps)
(c) Examine the stability of both the operating points.
(d) Rework the problem, using the Newton-Raphson Method.