Question

\(R_{a}=\) armature winding resistence \(L_{a}=\) armature winding inductanc \(K_{b}=\) back \(-\) emf constant \(K_{t}=\) motor \(-\) torque constant \(J_{1}=\) moment of inertia of the totor of the motor \(b_{1}=\) viscous \(-\) friction coef ficient of the rotor of the motor \(J_{2}=\) moment of inertia of the load \(b_{2}=\) viscous \(-\) friction coef ficient of the load \(n=\) gear ratio \(=\frac{N_{1}}{N_{2}}\) 

1a.  Obtain the transfer function \(\frac{\theta_{2}(s)}{E_{a}(s)}\)

1b.  Obtain the steady state response \(\theta_{2 . s . s}=\lim _{t \rightarrow \infty} \theta_{2}(t)=\lim _{s \rightarrow 0} s \theta_{2}(s)\) to the unit step input function \(e_{a}(t)=1(t)\).

Answer 1