Resolve each force acting on the gusset plate into its x and y component and exp

Question

Resolve each force acting on

the gusset plate into its x and

y component and express

each force as a Cartesian

vector.

Then determine the

magnitude of the resultant

force acting on the plate and

its direction, measured

counterclockwise from the positive x axis.

Resolve each force acting on the gusset plate into its x and y component and express each force as a Cartesian vector. Then determine the magnitude of the resultant force acting on the plate and its direction, measured counterclockwise from the positive x axis.

Explanation / Answer

F1=900 i

F2=750cos45 i + 750 sin45 j=530.33 i + 530.33 j

F3=650*4/5 i - 650*3/5 j= 520 i - 390 j

So net foece(F)=(900+520+533.33)i +(533.33-390)j=1953.33 i + 143.33 j

maggnitude of resultant=1958.58 N.

angle=4.197 degrees from horizontal

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