The formula to calculate the Effort to Move Upwards Considering Friction is:
\[ P_u = \frac{W \cdot \sin(\alpha_i + \Phi)}{\sin(\theta_e - (\alpha_i + \Phi))} \]
Effort to Move Upwards 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). Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.
Let's assume the following values:
Using the formula:
\[ P_u = \frac{120 \cdot \sin(0.40142572795862 + 0.03490658503988)}{\sin(1.4835298641949 - (0.40142572795862 + 0.03490658503988))} = 58.559704123303 \]
The Effort to Move Upwards is 58.559704123303 Newtons.
| Weight (Newtons) | Angle of Inclination (Radians) | Limiting Angle of Friction (Radians) | Angle of Effort (Radians) | Effort to Move Upwards (Newtons) |
|---|---|---|---|---|
| 100 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 48.799753436085858 |
| 105 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 51.239741107890154 |
| 110 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 53.679728779694443 |
| 115 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 56.119716451498732 |
| 120 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 58.559704123303028 |
| 125 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 60.999691795107324 |
| 130 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 63.439679466911613 |
| 135 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 65.879667138715902 |
| 140 | 0.40142572795862 | 0.03490658503988 | 1.4835298641949 | 68.319654810520206 |