1. Analog Computing. Consider an object thrown straight upward
with an initial vertical velocity vo from an initial height h(0)
0
We will use the circuit below to do an analog calculation of thc
altitude as a function of time.
vout (t) = klh(t)
Vo is fixed at Vo = kovo, where vo is the initial upward velocity.
All Rs are equal and all Cs are equal. Assume all capacitors are
initially discharged.
(a) Write an expression for the output Vout(t), in
terms of ko,Vo, R,C, and Vg.
(b) Based on this, write expressions for kl and vg,
such that Vout = klh(t), in terms of ko R, C, and g, where g is the
(positive) deceleration of gravity, as shown. Be careful with
signs!
(c) Sketch a modified circuit witli O'ne component
replaced (i.e. swap an R with a C or a C with an R), such that Vcut
= klV(t), where v(t) is the vertical velocity as a function of
time, rather than height. Write and expression for kl in terms of
ko, R, and C. Again, bc careful with signs.
Please Kindly help with Thumbs up for this answer. If any doubts feel free to query. Thank you
1. Analog Computing. Consider an object thrown straight upward with an initial vertical velocity vo from...
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