The formula to calculate the Effort to Move Downwards Considering Friction is:
\[ P_d = W \cdot \tan(\alpha_i - \Phi) \]
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. Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).
Let's assume the following values:
Using the formula:
\[ P_d = 120 \cdot \tan(0.40142572795862 - 0.03490658503988) = 46.0636842042404 \]
The Effort Required is 46.0636842042404 Newtons.
| Weight (Newtons) | Angle of Inclination (Radians) | Limiting Angle of Friction (Radians) | Effort Required (Newtons) |
|---|---|---|---|
| 100 | 0.40142572795862 | 0.03490658503988 | 38.386403503533643 |
| 105 | 0.40142572795862 | 0.03490658503988 | 40.305723678710329 |
| 110 | 0.40142572795862 | 0.03490658503988 | 42.225043853887009 |
| 115 | 0.40142572795862 | 0.03490658503988 | 44.144364029063695 |
| 120 | 0.40142572795862 | 0.03490658503988 | 46.063684204240374 |
| 125 | 0.40142572795862 | 0.03490658503988 | 47.983004379417054 |
| 130 | 0.40142572795862 | 0.03490658503988 | 49.902324554593740 |
| 135 | 0.40142572795862 | 0.03490658503988 | 51.821644729770419 |
| 140 | 0.40142572795862 | 0.03490658503988 | 53.740964904947106 |