The GATE Grind

GATE 2024 AG – Question 15

Farm Power · Tractors and Power Tillers · 1 mark · Multiple choice

A towed rigid wheel of total weight W rolls on a hard horizontal surface and uphill on a hard plane inclined θ. Compared with the horizontal case, the uphill rolling resistance is

  1. Increased by W sinθ
  2. Increased by W cosθ
  3. Decreased by W sinθ
  4. Decreased by W cosθ

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Show answer and explanation

Correct answer: (A) Increased by W sinθ

Explanation

The intended uphill towing balance includes the downslope gravity component $W\sin\theta$. Relative to level towing, this adds grade resistance $W\sin\theta$,so **A**. Strictly, this is additional grade resistance rather than an intrinsic change in rolling-deformation resistance; the examination uses rolling resistance in that broader towing-resistance sense.

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