Equilibrant/Examples
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Examples of Equilibrants
Forces at $\polar {100 \, \mathrm {kg}, 150 \degrees}, \polar {75 \, \mathrm {kg}, 60 \degrees}, \polar {50 \, \mathrm {kg}, -45 \degrees}$
Three forces $\mathbf F_1, \mathbf F_2, \mathbf F_3$ act on a particle $B$ at a point $P$ embedded in the complex plane:
\(\ds \mathbf F_1\) | \(=\) | \(\ds \polar {100 \, \mathrm {kg}, 150 \degrees}\) | ||||||||||||
\(\ds \mathbf F_2\) | \(=\) | \(\ds \polar {75 \, \mathrm {kg}, 60 \degrees}\) | ||||||||||||
\(\ds \mathbf F_3\) | \(=\) | \(\ds \polar {50 \, \mathrm {kg}, -45 \degrees}\) |
The equilibrant $\mathbf E$ of $\mathbf F_1, \mathbf F_2, \mathbf F_3$ is:
- $\mathbf E = \polar {80.8 \, \mathrm {kg}, -80.2 \degrees}$