Engineering Solve Force at C: Magnitude & Direction | Help Needed

[Jaydee]

Homework Statement

Finding missing force on a (beam)

Relevant Equations

Basic trig

Can anyone help me solve the magnitude and direction of force at C.

I've managed to get a value for AB. Using basic trig and substituting into F= ((9x150+19.62×350) / 50) / cos9.782

Therefore producing an upward force at AB=166.7N

when it comes to force @ C.. I'm lost!

 

[Lnewqban]

The reaction force at fulcrum C should be the summation of all the forces in x and y.
The mechanism is in equilibrium, regarding forces and moments.
Without that reaction force at C, the forearm will rotate counter-clockwise about point A, and A will move towards the right some.

Do a summation of moments about point C, on which $F_{Ay}$ and $F_{Cy}$ and $F_{Cx}$ are irrelevant.
You could then calculate the values of $F_{Cx}$ and $F_{Cy}$ via summation of forces on x-axis and y-axis.

Please, see:
https://skyciv.com/docs/tutorials/beam-tutorials/how-to-calculate-reactions-at-supports/

 

[Lnewqban]

Additional useful link:
https://courses.lumenlearning.com/s.../chapter/12-2-examples-of-static-equilibrium/