Which of the following is an inversion of a single slider-crank chain?

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  1. Elliptical trammel
  2. Scotch yoke
  3. Oldham's coupling
  4. Whitworth quick-return mechanism

Answer (Detailed Solution Below)

Option 4 : Whitworth quick-return mechanism
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Detailed Solution

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Explanation:

  • Rotary engine – I inversion of slider-crank mechanism (crank fixed)
  • Whitworth quick return motion mechanism – I inversion of slider-crank mechanism so option 3 is correct.
  • Crank and slotted lever quick return motion mechanism – II inversion of slider-crank mechanism (connecting rod fixed).
  • Oscillating cylinder engine – II inversion of slider-crank mechanism (connecting rod fixed).
  • Pendulum pump or bull engine – III inversion of slider-crank mechanism (slider fixed).
  • Inversions of double slider crank mechanism:  Elliptical trammel, Oldham coupling
  • Inversions of four-bar chain: Crank-rocker mechanism, Drag link mechanism, Double crank mechanism, Double rocker mechanism

26 June 1

Inversions of single slider crank mechanism:

  • A slider-crank is a kinematic chain having four links. It has one sliding pair and three turning pairs.
  • Link 2 has rotary motion and is called a crank. Link 3 has got combined rotary and reciprocating motion and is called connecting rod. Link 4 has reciprocating motion and is called a slider. Link 1 is a frame (fixed). This mechanism is used to convert rotary motion to reciprocating and vice versa. 

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  • Inversions of the slider-crank mechanisms are obtained by fixing links 1, 2, 3 and 4.
  • First inversion: This inversion is obtained when link 1 (ground body) is fixed.
    • Application-  Reciprocating engine, reciprocating compressor, etc.
  • Second inversion: This inversion is obtained when link 2 (crank) is fixed.
    • Application- Whitworth quick returns mechanism, Rotary engine, etc.

Theory of Machines I D4

Whitworth quick returns mechanism

  • Third inversion: This inversion is obtained when link 3 (connecting rod) is fixed.
    • Application - Slotted crank mechanism, Oscillatory engine, etc.
  • Fourth inversion: This inversion is obtained when link 4 (slider) is fixed.
    • Application- A hand pump, pendulum pump or Bull engine, etc.
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