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Two Directions for a Vertical Resultant

ID: 8ya4nvkxxu

Problem: \(F_1 = 600\,\text{N}\) acts at \(30^\circ\) and \(F_2 = 400\,\text{N}\) at \(150^\circ\). A third force of 500 N is added. Find both directions \(\theta\) of the third force (measured from \(+x\), between \(0^\circ\) and \(360^\circ\)) for which the resultant is vertical, and the resultant in each case. Give the smaller angle first.

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4 Answer Field(s)
3/3 Attempts
#1
\theta_1
^{\circ}
#2
F_{R1}
\text{N}\ \text{upward}
#3
\theta_2
^{\circ}
#4
F_{R2}
\text{N}\ \text{upward}
Scientific notation supported (e.g. 2e4, 2e-4)

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