GATE AG 2019 • Q43 MCQ • 2 Marks

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Mechanics of tractor chassis

Question Statement:

Tractors and Power tillers: Type, selection, maintenance and repair of tractors and power tillers; tractor clutches and brakes; power transmission systems – gear trains, differential, final drives and power take-off; mechanics of tractor chassis; traction theory; three point hitches - free link and restrained link operations; steering and hydraulic control systems used in tractors; tractor tests and performance; human engineering and safety considerations in design of tractor and agricultural implements. The combined mass of a tractor seat and operator is 75 kg and the undamped natural frequency of the operator seat is 10 rad/s. If seat suspension damping rate is 600 N m⁻¹ s, the damping ratio is

Options:

  • (A) 0.2
  • (B) 0.4
  • (C) 0.6
  • (D) 0.8

Official Answer Key:

B

Step-by-Step Solution & Explanation

Critical damping coefficient, cc = 2mωn = 2 × 75 × 10 = 1500 N·m⁻¹·s. Damping ratio, ζ = c/cc = 600/1500 = 0.40. Answer: (B) 0.4.

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