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sf2k
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Homework Statement
Working through 5.17 problem in Bedford 5th edition (Engineering Statics) p214
"The hydraulic piston AB exerts a 2000 N force on the ladder at B in the direction parallel to the piston. Determine the weight of the ladder and the reactions at C."
piston between A and B on an angle theta.
point C is further away from A and B by 1 metre along the base.
1m height from A->B or C->B
2m distance between base A->B
1m distance between base B->C
2m distance between the centre Weight of the ladder and the end point C
Homework Equations
Tan -1(opp/adj) gives the angle of force for C(x) and C(y).
forces on the x plane are cos theta
forces on the y plane are sin theta
F = ma using 9.81 m/s^2
The Attempt at a Solution
Sum of F(x) = C(x) + (2000/9.81) cos theta = 0
since base between A and B is 2 and height is 1 thus tan -1 (1/2) = 26.57 degrees
Sum of F(x) = C(x) + 203.87 cos 26.57 = 0
C(x) + 182.34 = 0
C(x) = -182.34 kgSum of F(y) = C(y) + 203.87 sin 26.57 - W = 0
The W force counters the C(y) force so I subtracted.
Don't know how to calculate C(y).
Sum of M(c) = ??
not sure how to calculate the moment at C nor solve for W.So I"m missing concepts from class in terms of when to solve for what and why. I have seen the answers for it so it's not a question of getting an answer. But I'm not following what to do for myself and I want to understand what is going on, what the moment is at C, and how to calculate it out.
Thanks for any advice or attempts at improving my understanding.
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