Question
A force $\mathbf{F}_{1}$ of magnitude 6.00 units acts at the origin in a direction $30.0^{\circ}$ above the positive $x$ axis. A second force $\mathbf{F}_{2}$ of magnitude 5.00 units acts at the origin in the direction of the positive $y$ axis. Find graphically the magnitude and direction of the resultant force $\mathbf{F}_{1}+\mathbf{F}_{2}$ .
Step 1
The $x$ component is given by $F_{1x} = F_{1} \cos(\theta)$ and the $y$ component is given by $F_{1y} = F_{1} \sin(\theta)$, where $\theta$ is the angle of the force with respect to the $x$ axis. Show more…
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A force $\overrightarrow{\mathbf{F}}_{1}$ of magnitude 6.00 units acts on an object at the origin in a direction $30.0^{\circ}$ above the positive $x$ axis. A second force $\overrightarrow{\mathbf{F}}_{2}$ of magnitude 5.00 units acts on the object in the direction of the positive $y$ axis. Graphically find the magnitude and direction of the resultant force $\overrightarrow{\mathbf{F}}_{1}+\overrightarrow{\mathbf{F}}_{2}$ .
A force $\mathbf{F}_{1}$ of magnitude $6.00$ units acts at the origin in a direction $30.0^{\circ}$ above the positive $x$ axis. A second force $\mathbf{F}_{2}$ of magnitude $5.00$ units acts at the origin in the $\mathrm{di}$ rection of the positive $y$ axis. Find graphically the magnitude and direction of the resultant force $\mathbf{F}_{1}+\mathbf{F}_{2}$
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