Allied & ICAR Exam Bank • ALLIED_1110 NAT • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: Tractor Steering Mechanics

Question Statement:

For perfect steering without tire scrubbing according to Ackermann steering geometry, a tractor has a wheelbase $L = 2.1\text{ m}$ and front wheel track width $b = 1.4\text{ m}$. If the inner steer wheel angle is $\theta = 35^\circ$ ($\cot(35^\circ) = 1.428$), the required cotangent of the outer steer angle $(\cot \phi)$ is:

Answer Key:

2.095

Step-by-Step Solution & Explanation

Ackermann condition: $\cot \phi - \cot \theta = \frac{b}{L} \implies \cot \phi = \cot(35^\circ) + \frac{1.4}{2.1} = 1.4281 + 0.6667 = 2.0948$.
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