A two-wheel drive tractor weighs $25000\text{ N}$ with a wheelbase of $2.2\text{ m}$. Its CG is located $0.75\text{ m}$ forward of the rear axle. A horizontal drawbar pull of $10500\text{ N}$ is applied at a hitch height of $0.45\text{ m}$ above the ground. The dynamic vertical load on the front axle during pulling is ________ $\text{N}$ (round off to nearest integer).
Answer Key:
6375
Step-by-Step Solution & Explanation
1. Static front axle reaction:
$R_{fs} = \frac{W \cdot x_{cg}}{\text{WB}} = \frac{25000 \times 0.75}{2.2} = 8522.7\text{ N}$
2. Dynamic weight transfer from front to rear axle due to drawbar pull:
$\Delta W = \frac{P \cdot h}{\text{WB}} = \frac{10500 \times 0.45}{2.2} = 2147.7\text{ N}$
3. Dynamic front axle load:
$R_{fd} = R_{fs} - \Delta W = 8522.7 - 2147.7 = 6375.0\text{ N} \approx 6375\text{ N}$