Allied & ICAR Exam Bank • ALLIED_0345 NAT • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: Tractors and Power Tillers

Question Statement:

In tractor steering geometry, wheelbase $b = 2.0\text{ m}$ and front track $c = 1.2\text{ m}$. When the inner wheel angle is $\theta_i = 45^\circ$ ($\cot\theta_i = 1.0$), the value of $\cot\theta_o = \cot\theta_i + c/b = 1.0 + 1.2/2.0 = 1.6$. Outer wheel angle $\theta_o$ in degrees is (rounded off to one decimal place):

Answer Key:

32.0

Step-by-Step Solution & Explanation

$\cot\theta_o = 1.0 + 0.6 = 1.60 \implies \theta_o = \text{arccot}(1.60) = \arctan(1 / 1.6) = \arctan(0.625) \approx 32.0^\circ$.
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