GATE AG 2012 • Q37 MCQ • 2 Marks

Section 2: Farm Machinery

Machine Design

Subtopic: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts

Question Statement:

In a disc clutch, the inside and outside radii of the clutch plate are 50 and 100 mm respectively. If the axial force exerted on the disc is 4 kN, the maximum pressure experienced by the clutch plate in N/mm² under uniform wear conditions is:

Options:

  • (A) 0.13
  • (B) 0.17
  • (C) 0.25
  • (D) 0.51

Official Answer Key:

C

Step-by-Step Solution & Explanation

Under uniform wear theory, axial force F = 2π p_max r1 (r2 - r1), where p_max occurs at the inner radius r1. F = 4000 N, r1 = 50 mm, r2 = 100 mm. So p_max = F / [2π r1 (r2-r1)] = 4000 / [2π × 50 × 50] = 4000/15708 = 0.2546 N/mm² ≈ 0.25 N/mm². Answer: C.

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