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Three forces are applied to a tree sapling, as shown in the figure(Figure1), to stabilize it. If FA = 500N and FB = 260N , find Fc in magnitude and direction. Express your answer using two significant figures. Express your answer using two significant figures.Explanation / Answer
let f(c) is making angle y with negative x-axis
for equibrillium , summation of forces in x direction
f(a) + f(b)cos110 = f(c) cosy
500 + 260cos110 = f(c) cosy
summation along y-axis
f(a) cos90 + f(b) cos 20 = f(c) siny
500x0 + 260cos20 = f(c)siny
f(c)siny = 244.32
or f(c) = 244.32 / siny
putting this value into first equation
500 + 260 (-0.342) = 244.32 * coty
so cot y = 1.683
so y = 30.71
so f(c) = 244.32 / cot (30.71)
= 145.12 N
so it is making 30.71 degree with negative direction along x axis
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