The formula to calculate the Effort to Move Downwards Considering Friction is:
\[ P_d = W \cdot (\sin(\alpha_i) - \mu \cdot \cos(\alpha_i)) \]
Effort to Move Downwards Considering Friction is the force applied in a given direction to cause the body to slide with uniform velocity parallel to the plane. Weight of Body is the force acting on the object due to gravity. Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another measured in degrees or radians. Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Let's assume the following values:
Using the formula:
\[ P_d = 120 \cdot (\sin(0.40142572795862) - 0.333333 \cdot \cos(0.40142572795862)) = 10.0675781007998 \]
The Effort Required is 10.0675781007998 Newtons.
| Weight (Newtons) | Angle of Inclination (Radians) | Coefficient of Friction | Effort Required (Newtons) |
|---|---|---|---|
| 100 | 0.40142572795862 | 0.333333 | 8.389648417333184 |
| 105 | 0.40142572795862 | 0.333333 | 8.809130838199843 |
| 110 | 0.40142572795862 | 0.333333 | 9.228613259066503 |
| 115 | 0.40142572795862 | 0.333333 | 9.648095679933162 |
| 120 | 0.40142572795862 | 0.333333 | 10.067578100799821 |
| 125 | 0.40142572795862 | 0.333333 | 10.487060521666480 |
| 130 | 0.40142572795862 | 0.333333 | 10.906542942533139 |
| 135 | 0.40142572795862 | 0.333333 | 11.326025363399799 |
| 140 | 0.40142572795862 | 0.333333 | 11.745507784266458 |