Bode Plot of Mechanical Plant

Steady-state output with given input

The Bode plot of a mechanical plant is shown in Fig. 1. (a) What will be this mechanicalplant’s steady-state output if it is subjected to an input of r(t) = 2sin(5t) –6cos(20t+ ?)? (b) Aunity feedback system is implemented on this mechanical plant. i.Determine if the system is stableii.Determine the system’ssteady-state error when subjected toa unit step input iii.Determine the system’ssteady-state error whensubjected toa unit rampinput.