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GATE 2025 AG – Question 59

Farm Machinery · Farm Machinery · 2 marks · Numerical answer

For a right-hand offset disc harrow, the front and rear gang centers are 2.5 and 4.5 m longitudinally from the hitch. Their longitudinal soil forces are 3.0 and 3.5 kN; opposing lateral soil forces are 2.5 and 4.0 kN. Find the center-of-cut offset from the hitch in metres, to two decimals.

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Correct answer: 1.50 to 2.00

Explanation

The opposing lateral gang forces create net moment about the hitch $M=4.0(4.5)-2.5(2.5)=11.75$ kN·m. Total longitudinal draft is $3.0+3.5=6.5$ kN. For the line of action to pass through the hitch, the offset e must balance this moment: $6.5e=11.75$. Thus **e=1.81 m**. The opposite lateral directions follow the conventional front/rear gang arrangement of an offset harrow.

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