Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message


jsMath

Solution 4.6a

From Mechanics

(Difference between revisions)
Jump to: navigation, search
Line 14: Line 14:
& \mathbf{F}1=40\cos 20{}^\circ
& \mathbf{F}1=40\cos 20{}^\circ
\mathbf{i}+40\sin 20{}^\circ
\mathbf{i}+40\sin 20{}^\circ
-
\mathbf{j}=40\times 0.94\mathbf{i}+40\times 0.342\mathbf{j} \\
+
\mathbf{j}=40\times 0\textrm{.}94\mathbf{i}+40\times 0\textrm{.}342\mathbf{j} \\
-
& =37.6\mathbf{i}+13.7\mathbf{j} \\
+
& =37\textrm{.}6\mathbf{i}+13\textrm{.}7\mathbf{j}\ \text{N}\\
\end{align}</math>
\end{align}</math>
Line 31: Line 31:
\right) {}^\circ
\right) {}^\circ
\mathbf{i}+50\sin \left( -30 \right) {}^\circ
\mathbf{i}+50\sin \left( -30 \right) {}^\circ
-
\mathbf{j}=50\times 0.866\mathbf{i}-50\times 0.50\mathbf{j} \\
+
\mathbf{j}=50\times 0\textrm{.}866\mathbf{i}-50\times 0\textrm{.}50\mathbf{j} \\
-
& =43.3\mathbf{i}+25\mathbf{j} \\
+
& =43\textrm{.}3\mathbf{i}+25\mathbf{j} \ \text{N}\\
\end{align}</math>
\end{align}</math>

Revision as of 15:22, 23 March 2010

F=Fcosi+Fsinj


F1=40 N and 1=20 this gives


F1=40cos20i+40sin20j=400.94i+400.342j=37.6i+13.7j N


F2=50 N and 2=30 this gives


F2=50cos30i+50sin30j=500.866i500.50j=43.3i+25j N