Question

Find the components of force $\text{F}$ along and perpendicular to the incline if the direction of $\text{F}$ is parallel to the horizontal axis.

• A. $\text{F cos}{60}^{\circ },\text{F sin}{30}^{\circ }$
• B. $\text{F cos}{30}^{\circ },\text{F sin}{60}^{\circ }$
• C. $\text{F cos}{0}^{\circ },\text{F sin}{90}^{\circ }$
• D. $\text{F cos}{30}^{\circ },\text{F sin}{30}^{\circ }$

Answer 1

The correct option is D $\text{F cos}{30}^{\circ },\text{F sin}{30}^{\circ }$

From diagram we can say that, ${\text{F}}_{\text{along}}=\text{F cos}\theta =\text{F cos}{30}^{\circ }$
${\text{F}}_{\text{perp}}=\text{F sin}\theta =\text{F sin}{30}^{\circ }$
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