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GATE 2023 AG – Question 52

Farm Power · Tractors and Power Tillers · 2 marks · Numerical answer

A 2WD tractor weighs24 kN with 30% front/70% rear load. On pure sand maximum traction is 13 kN. Add1.5 kN to rear axle, neglect load transfer. Find traction increase in kN, to two decimals.

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Correct answer: 1.15 to 1.20

Explanation

Initial driven-wheel load is $.70(24)=16.8$ kN. For unchanged soil/tire traction coefficient,$\mu=13/16.8=.7738095$. Additional driven load1.5 kN increases traction by $\Delta F=\mu(1.5)=1.160714$ kN. Rounded, the answer is **1.16 kN**.

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