GATE AG 2011 • Q32 MCQ • 1 Mark

Section 2: Farm Machinery

Farm Machinery

Subtopic: Functional requirements, principles of working, construction and operation of manual, animal, tractor and renewable energy operated equipment for tillage, sowing, planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting and threshing

Question Statement:

In a cutter bar mower, the cutter bar drive consists of an offset slider crank mechanism with a crank of radius 36 mm and a pitman of length 360 mm. If offset of the crank is 72 mm, the stroke length in mm would be

Options:

  • (A) 36.0
  • (B) 72.0
  • (C) 73.5
  • (D) 80.5

Official Answer Key:

C

Step-by-Step Solution & Explanation

For an offset slider-crank mechanism, the two extreme slider positions correspond to the crank aligned toward and away from the offset line. Stroke length s = √[(l+r)² − e²] − √[(l−r)² − e²], where l = pitman (connecting-rod) length = 360 mm, r = crank radius = 36 mm, e = offset = 72 mm. Computing: √[(396)² − 72²] − √[(324)² − 72²] = √(156816−5184) − √(104976−5184) = √151632 − √99792 = 389.4 − 315.9 = 73.5 mm, matching option (C).

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