GATE AG 2018 • Q38 MCQ • 2 Marks

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Mechanics of tractor chassis

Question Statement:

A two-wheel drive tractor weighing 18 kN has a wheel base 1.8 m. Its centre of gravity is located 600 mm ahead of the rear axle centre, under static condition, on a level ground. When this tractor is used to pull a disc plough hitched at a height of 390 mm from the ground, the draft observed is 6 kN. The change in reaction on rear wheels of the tractor due to pull in kN is

Options:

  • (A) 1.30
  • (B) 1.95
  • (C) 3.90
  • (D) 5.85

Official Answer Key:

A

Step-by-Step Solution & Explanation

Taking moments about the rear-axle contact point, the pull P acting at height h transfers weight from front to rear. ΔR_rear = P × h / L, where L = wheelbase. = 6 × 0.390 / 1.8 = 2.34/1.8 = 1.30 kN (increase on rear wheels; the front reaction drops by the same amount). Distractor (C) 3.90 comes from using the CG distance (0.6 m) instead of the wheelbase in the denominator.

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