The formula to calculate the Effort Required to Move a Body up a Plane Neglecting Friction is:
\[ P_0 = \frac{W \cdot \sin(\alpha_i)}{\sin(\theta_e - \alpha_i)} \]
The Effort Required to Move Neglecting Friction is the force required to move the body up or down the plane neglecting friction. The weight of the body is the force acting on the object due to gravity. The angle of inclination of the plane to the horizontal is the angle formed by the inclination of one plane to another. The angle of effort is the angle which the line of action of effort makes with the weight of the body.
Let's assume the following values:
Using the formula:
\[ P_0 = \frac{120 \cdot \sin(0.40142572795862)}{\sin(1.4835298641949 - 0.40142572795862)} \approx 53.1036448798622 \, \text{Newtons} \]
The Effort Required to Move Neglecting Friction is approximately 53.1036448798622 Newtons.
| Weight (Newtons) | Angle of Inclination (radians) | Angle of Effort (radians) | Effort Required (Newtons) |
|---|---|---|---|
| 110 | 0.40142572795862 | 1.4835298641949 | 48.678341139873652 |
| 112 | 0.40142572795862 | 1.4835298641949 | 49.563401887871350 |
| 114 | 0.40142572795862 | 1.4835298641949 | 50.448462635869056 |
| 116 | 0.40142572795862 | 1.4835298641949 | 51.333523383866755 |
| 118 | 0.40142572795862 | 1.4835298641949 | 52.218584131864461 |
| 120 | 0.40142572795862 | 1.4835298641949 | 53.103644879862166 |
| 122 | 0.40142572795862 | 1.4835298641949 | 53.988705627859865 |
| 124 | 0.40142572795862 | 1.4835298641949 | 54.873766375857571 |
| 126 | 0.40142572795862 | 1.4835298641949 | 55.758827123855269 |
| 128 | 0.40142572795862 | 1.4835298641949 | 56.643887871852975 |
| 130 | 0.40142572795862 | 1.4835298641949 | 57.528948619850674 |