OPEN BOOK. OPEN NOTE. NO ELECTRONICS. Write your final answer in the

specified area. Show your work step$-$by$-$step with proper units. No credit will be given

to illegible work.

NAME:

SCORE:

Consider the system shown. Determine the trasfer function of the closed$-$loop system and answer

the floowing questions about the closed$-$loop system.

a$)$ Determine the closed$-$loop transfer function.

b$)$ Find the range of $K$ that makes the closed$-$loop system stable.

Note: If there is no value of $K$ that makes the closed$-$loop system stable, then mentioned that the closed$-$loop system is always unstable.

hand written please show all steps