Answer:
a) Under damped
Explanation:
Given that system is critically damped .And we have to find out the condition when gain is increased.
As we know that damping ratio given as follows
[tex]\zeta =\dfrac{C}{C_c}[/tex]
Where C is the damping coefficient and Cc is the critical damping coefficient.
[tex]C_c=2\sqrt{mK}[/tex]
So from above we can say that
[tex]\zeta =\dfrac{C}{2\sqrt{mK}}[/tex]
[tex]\zeta \alpha \dfrac{1}{\sqrt K}[/tex]
From above relationship we can say when gain (K) is increases then system will become under damped system.
