GATE AG 2025 • Q59 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Hitch systems and hitching of tillage implements

Question Statement:

For a right-hand offset disc harrow, front and rear gang centers are 2.5 m and 4.5 m (longitudinally) from the hitch point. Longitudinal soil forces on front/rear gangs = 3.0/3.5 kN; lateral soil forces = 2.5/4.0 kN (front/rear gangs throw soil in opposite lateral directions). Find the offset of the center of cut from the hitch point (m). (Rounded to 2 decimal places)

Official Answer Key:

1.50 to 2.00

Step-by-Step Solution & Explanation

Since the front and rear gangs of an offset harrow displace soil in opposite lateral directions, their moments about the hitch point oppose each other. Balancing moments about the line of pull: offset e = (F_lat,rear×x_rear − F_lat,front×x_front)/(F_long,front+F_long,rear) = (4.0×4.5 − 2.5×2.5)/(3.0+3.5) = (18.0−6.25)/6.5 = 1.81 m. Section 3: Farm Power

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