GATE ME 2020 Set 1 — Question 18
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Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
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Question
A four bar mechanism PQRS is shown below. The fixed link is , the coupler is and the link .
For the mechanism to be a crank-rocker mechanism, the length of the link can be
Correct answer
(A) 80 mm
Solution
Grashof condition. For at least one link to make a full revolution, the shortest () and longest () links must satisfywhere are the other two links. For a crank-rocker, the shortest link must also be adjacent to the fixed link, so that it acts as the crank.Links: mm (fixed), mm, mm, and (adjacent to the fixed link ).Case: is the shortest link (crank). The longest link is mm:Checking the options:
- (A) mm: shortest link, ; Grashof, and the shortest link is adjacent to the fixed link, so is a crank and rocks: crank-rocker.
- (B) mm: ; non-Grashof (triple rocker).
- (C) mm: ; non-Grashof.
- (D) mm: with shortest; non-Grashof.
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