Question: 1 1 . Given the rotational mechanical system shown below: a . Find the mathematical model of the system in differential equations, with the input

11. Given the rotational mechanical system shown below:
a. Find the mathematical model of the system in differential equations, with the input is the torque T(t) and the output the angle theta(t)
b. Find the transfer function of the system
c. Find J and D to yield 20\% maximum overshoot and a 2\% settling time of 2 seconds for a step input of torque T(t)
d. Compute the unit step response of the system!
1 1 . Given the rotational mechanical system

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