GATE AG 2013 • Q9 MCQ • 2 Marks

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Human engineering and safety considerations in design of tractor and agricultural implements

Question Statement:

A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes

Options:

  • (A) equal speed and equal power distribution to both the drive wheels
  • (B) equal speed and equal torque distribution to both the drive wheels
  • (C) equal power and equal torque distribution to both the drive wheels
  • (D) equal speed and unequal power distribution to both the drive wheels

Official Answer Key:

D

Step-by-Step Solution & Explanation

An open (unlocked) differential always splits TORQUE equally between the two half-shafts by design, but allows unequal wheel speeds — this is precisely the problem during one-wheel slip: the spinning wheel needs almost no torque to keep spinning, so the open differential limits BOTH wheels to that same low torque, and the gripping wheel stalls. Locking the differential mechanically forces both wheels to rotate at the SAME SPEED, removing the equal-torque constraint — the gripping wheel can now develop whatever torque its available traction allows, which will generally differ from the slipping wheel's torque. Since power = torque × (common) angular speed, equal speed with unequal torque means UNEQUAL power to the two wheels. Answer: (D).

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