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Solution 4.7b

From Mechanics

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Current revision (16:26, 4 February 2011) (edit) (undo)
 
(One intermediate revision not shown.)
Line 17: Line 17:
<math>\begin{align}
<math>\begin{align}
-
& \mathbf{FR}=
+
& \mathbf{R}=
-
& -24\textrm{.}2\mathbf{i}+134\textrm{.}6\mathbf{j} \ \text{N}\\
+
& 55\textrm{.}8\mathbf{i}+54\textrm{.}6\mathbf{j} \ \text{N}\\
\end{align}</math>
\end{align}</math>
 +
 +
The magnitude of this resultant is
 +
 +
 +
<math>\sqrt{{{\left( 55\textrm{.}8 \right)}^{2}}+{{\left( 54\textrm{.}6 \right)}^{2}}}=78\textrm{.}1\ \text{N}</math>

Current revision

F1=86.6i+50j N

F2=−30.8i+84.6j N

F3=−80j N

Summing these vectors give their resultant

R=55.8i+54.6j N

The magnitude of this resultant is


55.82+54.62=78.1 N 

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