##V=sqrt(2*g*h)##, where h is the height shown in the picture.
The skier would lose contact with the snow if there still is momentum in the y direction right when they reach the crest of the second hill. Or, if the momentum in the y direction reaches 0 just as the crest is reached.
See a picture of the question above.
My thoughts are:
dp(y)/dy is negative such that when going up the slope, the momentum in the y direction is equal to 0 just as the skier reaches the top of the circular section.
Given that there is no friction on the slopes, the energy of the skier...
I suppose then that the modern approach is to develop a transfer function with the poles and zeros needed to insure stability for the anticipated operating conditions. Is that correct?
Summary: A question about how PI controllers reach steady state
Hello PhysicsForums,
I need a little help understanding how a PI controller works when operating in steady state.
Here is the equation in State Space form:
Where
In standard form, the equation is:
Where
The question I’m...