GATE AG 2020 • Q55 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Hitch systems and hitching of tillage implements

Question Statement:

A tractor-drawn right-hand offset disc harrow: front gang longitudinal/lateral soil reactions = 3.0/2.5 kN at 2.5 m behind hitch; rear gang = 3.5/4.0 kN at 4.0 m behind hitch. Find the required offset of the disc harrow (m). (Rounded to 2 decimal places)

Official Answer Key:

1.45 to 1.55

Step-by-Step Solution & Explanation

Front and rear gangs of an offset harrow throw soil in opposite lateral directions, so their moments about the hitch oppose each other. Offset e = (F_lat,rear×x_rear − F_lat,front×x_front)/(F_long,front+F_long,rear) = (4.0×4.0 − 2.5×2.5)/(3.0+3.5) = (16.0−6.25)/6.5 = 1.50 m. Section 3: Farm Power

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