GATE ME 2018 Set 1 — Question 30
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Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
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Question
A four bar mechanism is made up of links of length 100, 200, 300 and 350 mm. If the 350 mm link is fixed, the number of links that can rotate fully is __________.
Correct answer
1 to 1
Solution
According to Grashof's law, for a four-bar mechanism to have at least one link that can rotate fully, the sum of the shortest () and longest () link lengths must be less than or equal to the sum of the other two link lengths ().Given link lengths: .
1.If the shortest link is fixed, it is a double-crank mechanism (2 links rotate fully).
2.If a link adjacent to the shortest is fixed, it is a crank-rocker mechanism (1 link rotates fully).
3.If the link opposite to the shortest is fixed, it is a double-rocker mechanism (0 links rotate fully relative to the frame).
Here, the link (longest) is fixed. In a loop of four links, the longest link is adjacent to the shortest link (). Therefore, this is a crank-rocker mechanism where the shortest link () acts as the crank and can rotate fully.Thus, the number of links that can rotate fully is 1.Continue learning with Success Tracker
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