Solution Found!
A MOEMS (optical MEMS) is a MEMS (Micro Electromechanical
Chapter 4, Problem 54(choose chapter or problem)
When electrodes are attached to the mastoid bones (right behind the ears) and current pulses are applied, a person will sway forward and backward. It has been found that the transfer function from the current to the subject's angle (in degrees) with respect to the vertical is given by (Nashner, 1974)
\(\frac{\theta(s)}{I(s)}=\frac{5.8(0.3 s+1) e^{-0.1 s}}{(s+1)\left(s^2 / 1.2^2+0.6 s / 1.2+1\right)}\)
(a) Determine whether a dominant pole approximation can be applied to this transfer function.
(b) Find the body sway caused by a \(250 \mu \mathrm{A}\) pulse of 150 msec duration.
Questions & Answers
QUESTION:
When electrodes are attached to the mastoid bones (right behind the ears) and current pulses are applied, a person will sway forward and backward. It has been found that the transfer function from the current to the subject's angle (in degrees) with respect to the vertical is given by (Nashner, 1974)
\(\frac{\theta(s)}{I(s)}=\frac{5.8(0.3 s+1) e^{-0.1 s}}{(s+1)\left(s^2 / 1.2^2+0.6 s / 1.2+1\right)}\)
(a) Determine whether a dominant pole approximation can be applied to this transfer function.
(b) Find the body sway caused by a \(250 \mu \mathrm{A}\) pulse of 150 msec duration.
ANSWER:G(s) = K / (s^2 + (?/?n) s + 1/?n^2)
where
K = gain,
? = damping ratio,
wn = natural frequency.
K = (maxVout - minVout) / (maxVin - minVin)
? = -(1/