Subtopic: Hitch systems and hitching of tillage implements
Question Statement:
A mounted moldboard plow experiences a total horizontal soil resistance of $6.0\text{ kN}$ and a downward vertical force of $1.5\text{ kN}$. The horizontal line of pull makes an angle $\theta$ below the horizontal. Calculate the resultant pull in $\text{kN}$ (round off to 2 decimal places).
Answer Key:
6.18
Step-by-Step Solution & Explanation
The resultant pull is the vector sum of horizontal draft ($D$) and downward vertical force ($V$):
$P = \sqrt{D^2 + V^2} = \sqrt{(6.0)^2 + (1.5)^2} = \sqrt{36 + 2.25} = \sqrt{38.25} \approx 6.185\text{ kN}$
Acceptable range: $6.15 - 6.25\text{ kN}$.