Question Bank • QB_FP_069 NAT • 2 Marks

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Mechanics of tractor chassis

Question Statement:

A tractor has a total static weight of $W = 25.0\text{ kN}$ and a wheelbase of $L = 2.00\text{ m}$. When weighed on a level platform scale, the static reaction on the front axle is $W_{f0} = 8.75\text{ kN}$. The horizontal distance from the rear axle centerline to the tractor center of gravity ($x_{cg}$) in $\text{m}$ is ________ (round off to 2 decimal places).

Answer Key:

0.70

Step-by-Step Solution & Explanation

Taking moments about the rear axle centerline: $W \cdot x_{cg} = W_{f0} \cdot L$ $x_{cg} = \frac{W_{f0} \cdot L}{W} = \frac{8.75\text{ kN} \times 2.00\text{ m}}{25.0\text{ kN}} = \frac{17.50}{25.0} = 0.70\text{ m}$
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