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By a suitable choice of the scalar parameter K, the system shown in the figure, can be made t o oscillate continuously at a fr equency of _____rad/s
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- 1
- 4
- 63
- 16
Correct Option: B
Characteristic equation is 1 + G (s) H (s) = 0
∴ s (s2 + 10s + 16) + K = 0
⇒ jω (– ω2 + 10jω + 16) K = 0
For this system to oscillate, j terms should be set to zero.
∴ – jω3+ 16 jω = 0
⇒ ω = 4 r ad/ sec.
Then, – 10 ω2 + K = 0
⇒ K = 160.
