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Example A rotational mechanical system is shown schematically as follows. Given that:

Example A rotational mechanical system is shown schematically as follows. Given that: Do the following for the system Find the differential equation. ( ) Find the transfer function G ( s ) = θ ( s )/ T (s). ( )

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Example A rotational mechanical system is shown schematically as follows. Given that:

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  1. Example A rotational mechanical system is shown schematically as follows. Given that: Do the following for the system Find the differential equation. ( ) Find the transfer function G(s) = θ(s)/T(s). ( ) Find the poles.( ) Is this system stable or not? Why? (Stable as all poles are in the LHP) Find ζ and ωn.( ) Evaluate %OS, Ts, Tp, and Tr of the step response. ( ) Find the analytical expressions for the frequency response. ( ) Determine the system ouptut, θ(t), in the steady state if the system input is . ( ) Suppose this system is the plant of a unity feedback system, find the steady-state error of the feedback system if the input is a step. (8/9)

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