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Homework Statement
Calculate the magnitude of the force supported by the point at A under the action of the 2.9kN load applied to the bracket. Neglect friction in the slot.
Homework Equations
ƩM_{A}=0
ƩF_{y}=0
ƩF_{x}=0
The Attempt at a Solution
I started by finding the moment around A so that I could solve for the vertical force at B:
Δy_{AC}=(135)sin(34)
M_{A}=0=(2.9)(75.459)F_{By}(155)
F_{By}=1.41
Then I found F_{BX} using trig functions and the angle between the vertical axis and F_{B}:
(1.41)tan(56)=2.09
Then I summed all the forces to find the components of the force at point A:
ƩF_{y}=0=1.41+F_{Ay}
F_{Ay}=1.41Kn
ƩF_{x}=0=2.09+2.99+F_{Ax}
F_{Ax}=0.9Kn
Then I found F_{A} using the Pythagorean theorem
F_{A}=√(0.9^{2}+1.41^{2})=1.672Kn
This was wrong, am I missing a force/forces somewhere, or are my calculations incorrect?
Thanks for any help!!!
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