# Question For the block diagram shown above, determine the following: 1) Transfer function $$Y(s) / R(s)$$ 2) The resulting transfer function is a standard $$2^{\text {nd }}$$ order which has the following format. $H(s)=\frac{\omega_{n}^{2}}{s^{2}+2 \zeta \omega_{n} s+\omega_{n}^{2}}$ Determine the value of $$\mathrm{K}$$ that would result in a maximum overshoot of $$10 \%$$ from a step input.

8IUY43 The Asker · Mechanical Engineering

Transcribed Image Text: For the block diagram shown above, determine the following: 1) Transfer function $$Y(s) / R(s)$$ 2) The resulting transfer function is a standard $$2^{\text {nd }}$$ order which has the following format. $H(s)=\frac{\omega_{n}^{2}}{s^{2}+2 \zeta \omega_{n} s+\omega_{n}^{2}}$ Determine the value of $$\mathrm{K}$$ that would result in a maximum overshoot of $$10 \%$$ from a step input.
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Transcribed Image Text: For the block diagram shown above, determine the following: 1) Transfer function $$Y(s) / R(s)$$ 2) The resulting transfer function is a standard $$2^{\text {nd }}$$ order which has the following format. $H(s)=\frac{\omega_{n}^{2}}{s^{2}+2 \zeta \omega_{n} s+\omega_{n}^{2}}$ Determine the value of $$\mathrm{K}$$ that would result in a maximum overshoot of $$10 \%$$ from a step input.