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## Homework Statement

Calculate the magnitude of the force supported by the point at A under the action of the 2.9-kN 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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