Question $1$:

a$.$ Define the following terminologies as used in control systems engineering.

i$.$ System variable

ii$.$ State variable

iii. State space

iv$.$ State equations

b$.$ Given the rotational mechanical system of figure $1$ below where $N1=10$ and $N2=100,$

perform the following tasks.

Determine the system's state$-$space model.

ii$.$ Convert the state$-$space model derived in $($i$.)$ into a transfer function.

iii. Draw a block diagram based on the state$-$space model in $($ii$)$ in phase variable

form.