Motion on an inclined plane.

Label the forces involved in an inclined plane:

Figure 60.1: The Inclined Plane: (1) $F_{N}$, (2) $F_{G}$, (3) $F_{G_{X}}$, (4) $F_{G_{Y}}$, (5) $F_{fr}$, ($\theta$) Angle of incline.

What is the relationship of angle of inclination of the inclined plane and force calculations?

Table 60.2: Inclined Plane: Relationship between angle of inclination and force calculations.

$F_{N}=$	$mg\cos \theta$
$F_{G_{X}}=$	$mg\sin \theta$
$F_{G_{Y}}=$	$-mg\cos \theta$
$F_{fr}=$	$\left(\mu_{kinetic}\right)\left(F_{N}\right)$
$\mu_{kinetic}=$	$\frac{mg\sin \theta}{mg\cos \theta}=$	$\tan \theta$