RECTANGULAR COMPONENTS OF A VECTOR FORCE PROBLEM.

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RECTANGULAR COMPONENTS OF A VECTOR FORCE PROBLEM.

Mathematics
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Sorry. Slow computer

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I would first find the coordinate of B using the lengths given
looks like you have to play around and find some lengths the hinge is (0,0,0,)
@DanJS That's the part where I'm struggling. I'm trying to use the 45degree angle
draw some right triangles on the disc
|dw:1437883107472:dw|
|dw:1437883228372:dw|
are u comfortable with how u got the coodinates there?
|dw:1437883524512:dw|
haha, i went to get a drink and you done...
statics is fun...
I see. So then after getting the required lengths. we use the formula A = Axi + Ayj + Azk?
where x,y,z are the compnents of the unit vector it has to be a unit vector in the direction u want
so that the magnitude of (k*unitvector) = k where k is 500 in this case,
this is a way to see how to divide your 500 Newtons of force into its component form
After u get the start and end points of the vector, use V =<(x2-x1) , (y2-y1), (z2-z1)> The unit vector length 1 in the direction of V is , the V over its magnitude Then multiply that by the force at A, to get the force vector, as dan did
the v roof hat, is the unit vector of length 1

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