Solve Equilibrium Problem: Find Equilibriant Force

[Hollysmoke]

As you can see in the attachmen, I'm supposed to find the equilibriant force and the force from the left side.

So is it something like this:

Fx = 0,

Fh + 200cos20-100cos30=0
Fh = -101.33N

Fy = 0
Fv + 200sin20 + 100sin30 = 0
Fv = -118N

But I get stuck on the rest. Can someone help me out please?

 

[Office_Shredder]

I'm a bit confused here... exactly what are you trying to solve for?

 

[Hollysmoke]

Actually, I think I figured it out but are the vertical and horizontal forces correct? Or do the Fh and Fv should cancel out

 

[Hollysmoke]

I'm supposed to find the equilibriant force on the diagram I posted (see attachments)

 

[PhysicsApprentice]

the force that give you equilibrium is 155.55N and its direction is 49.35 degress to the horizontal

 

[Hollysmoke]

uhmm...thanks for telling me the answer, but it's useless if I don't know how to get the answer =(

 

[PhysicsApprentice]

-101.33 + (theforce)cosA = 0
-188 + (theforce)sinA = 0

tanA = -188 / -101.33


therefore A = 49.35 degrees to the horizontal

 

[PhysicsApprentice]

if you need further explanation let me know

 

[Hollysmoke]

Wait how did you get -188 for the vertical?

 

[Hollysmoke]

nvm I think you meant 118. if you divided 188, you get 61 degrees.

 

[PhysicsApprentice]

well

-188 +FsinA = 0
is the same as writing
-188 +Fcos(90-A) = 0

since its sin it means it is the vertical

but this does not mean that Fy will always be the vertical if you in a situation where Fx has to be sin0 then fx will be the vertical and it would be 101.33/118
instead of the other way around

if your still not 100% percent clear i ll draw a picture for you, its quite hard to explain without pictures

 

[PhysicsApprentice]

nvm I think you meant 118. if you divided 188, you get 61 degrees.

yes i meant 118
sorry about that