For the system shown above, the minimum sampling rate required to sample y(t), so that y(t) can be uniquely reconstructed from its samples, is

The closed loop system will be stable if,

a) the damping ratio ς = 0.5 and undamped natural frequency ω_{n }=10 rad/s

b) the steady state value of the output, to a unit step input, is 1.02.

The transfer function of the system is