The formulas to calculate the forces on an inclined plane are:
\[ F_{\parallel} = m \cdot g \cdot \sin(a) \]
\[ F_{\perp} = m \cdot g \cdot \cos(a) \]
Where:
The forces acting on a body on an inclined plane are typically the force of gravity and the force of friction. The force of friction always acts parallel to the incline, while the force of gravity has two components: one acting parallel to the plane and one acting perpendicular to the plane.
Let's consider an example:
Using the formulas to calculate the forces:
\[ F_{\parallel} = 10 \cdot 9.81 \cdot \sin(30) \approx 49.05 \text{ N} \]
\[ F_{\perp} = 10 \cdot 9.81 \cdot \cos(30) \approx 84.87 \text{ N} \]
This means that the force parallel to the plane is approximately 49.05 N, and the force perpendicular to the plane is approximately 84.87 N.