The formula to calculate the Effort Applied Perpendicular to an Inclined Plane to Move a Body Upward Considering Friction is:
\[ P_u = W \cdot \tan(\alpha_i + \Phi) \]
The 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. 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 limiting angle of friction is the angle which the resultant reaction makes with the normal reaction.
Let's assume the following values:
Using the formula:
\[ P_u = 120 \cdot \tan(0.40142572795862 + 0.03490658503988) \approx 55.9569189785878 \, \text{Newtons} \]
The Effort to Move Upwards Considering Friction is approximately 55.9569189785878 Newtons.
| Weight (Newtons) | Angle of Inclination (radians) | Limiting Angle of Friction (radians) | Effort Required (Newtons) |
|---|---|---|---|
| 110 | 0.40142572795862 | 0.03490658503988 | 51.293842397038809 |
| 112 | 0.40142572795862 | 0.03490658503988 | 52.226457713348609 |
| 114 | 0.40142572795862 | 0.03490658503988 | 53.159073029658401 |
| 116 | 0.40142572795862 | 0.03490658503988 | 54.091688345968201 |
| 118 | 0.40142572795862 | 0.03490658503988 | 55.024303662277994 |
| 120 | 0.40142572795862 | 0.03490658503988 | 55.956918978587794 |
| 122 | 0.40142572795862 | 0.03490658503988 | 56.889534294897587 |
| 124 | 0.40142572795862 | 0.03490658503988 | 57.822149611207386 |
| 126 | 0.40142572795862 | 0.03490658503988 | 58.754764927517179 |
| 128 | 0.40142572795862 | 0.03490658503988 | 59.687380243826979 |
| 130 | 0.40142572795862 | 0.03490658503988 | 60.619995560136779 |