How Do Forces Maintain Equilibrium in a Beam Supported by a Brace?

[464thomas]

1. The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 37° by a brace that is attached to a pin. The beam has a weight of 337 N. Three additional forces keep the beam in equilibrium. The brace applies a force Parrowbold to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component Parrowbold and a vertical component Varrowbold. Find the magnitudes of these three forces (H, V, P).



not sure



3. I have no idea at how to begin this problem

 

[Mapes]

Hi 464thomas, welcome to PF. Do you know how to draw a free-body diagram?

 

[464thomas]

yes, I have the forces all drawn out, and I somehow was able to get force (i tried different formulas and I think I came across the answer by chance) V=170N to be correct

 

[Mapes]

Try doing a equilibrium force balance (aka, "the sum of the forces equals zero") in the x direction and y direction, and do a moment balance around some point (doesn't matter). That's how you'll find the remaining forces.