Problem statements
Solution video - H9.A
Solution video - H9.B
DISCUSSION THREAD

Please post questions here on the homework, and take time to answer questions posted by others. You can learn both ways.
Problem statements
Solution video - H9.A
Solution video - H9.B
DISCUSSION THREAD
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Should we just get magnitude of cable or vector?
I interpreted it as the magnitude since it just says tension, not components of the tension-induced force.
For these problems are we supposed to assume the system is in static equilibrium? Or are we only to assume that if explicitly stated
We assume everything in this section to be in static equilibrium, so if we add every force/moment, it should always equal 0.
yes if everything is done correctly it should all equal zero
Everything should be in static equilibrium otherwise there would be too many unknowns for the equations that you have and you would be unable to solve the linear systems. Because of that I would say its safe to assume static equilibrium here. It can be good to write it down though.
2
How many reactions would be on the smooth rollers on A and C? Would it be 2 reactions in the x and y directions for both points?
There should only be one reaction on each point. Since smooth rollers would be free-moving, the only reaction they would have is the normal force. In this case, A has a normal force in the positive x, and C has one in the positive Y.
DO we also take moments into account for this question?
Yes. For 2D equilibrium problems, you must use at least 1 moment equation. Professor Jones recommends that we use 2 component force equations (x and y) and one moment equation in the z-direction.
The primary way to do it is by using the x and y component force equations and one moment equation in the z direction. Technically, this could also be solved by using one component force equation (x or y) and 2 moment equations (about different points in the z direction), or by using 3 different moment equations (as long as the 3 points are NOT colinear).