The formula to calculate the Effort Required to Move Neglecting Friction is:
\[ P_0 = \frac{W \cdot \sin(\alpha_i)}{\sin(\theta_e - \alpha_i)} \]
Effort Required to Move Neglecting Friction is the force required to move the body up/down the plane neglecting friction. 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. 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:
\[ P_0 = \frac{120 \cdot \sin(0.40142572795862)}{\sin(1.4835298641949 - 0.40142572795862)} = 53.1036448798622 \]
The Effort Required is 53.1036448798622 Newtons.
| Weight (Newtons) | Angle of Inclination (Radians) | Angle of Effort (Radians) | Effort Required (Newtons) |
|---|---|---|---|
| 100 | 0.40142572795862 | 1.4835298641949 | 44.253037399885137 |
| 105 | 0.40142572795862 | 1.4835298641949 | 46.465689269879391 |
| 110 | 0.40142572795862 | 1.4835298641949 | 48.678341139873652 |
| 115 | 0.40142572795862 | 1.4835298641949 | 50.890993009867906 |
| 120 | 0.40142572795862 | 1.4835298641949 | 53.103644879862166 |
| 125 | 0.40142572795862 | 1.4835298641949 | 55.316296749856413 |
| 130 | 0.40142572795862 | 1.4835298641949 | 57.528948619850674 |
| 135 | 0.40142572795862 | 1.4835298641949 | 59.741600489844934 |
| 140 | 0.40142572795862 | 1.4835298641949 | 61.954252359839188 |