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The number of possible inversions for a mechanism with 10 numbers of links will be:
1. 5
2. 0
3. 2
4. 10

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Correct Answer - Option 4 : 10

Explanation:

Inversion:

  • If one of the links is fixed in a kinematic chain, it is called a mechanism. So, we can obtain as many mechanisms as the number of links (n inversions from a kinematic chain having ‘n’ number of links) in a kinematic chain.
  • This method of obtaining different mechanisms by fixing different links in a kinematic chain is known as inversion of the mechanism.
  • In This question as there are 10 links, hence there will be 10 number of possible inversions.
  • In the process of inversion, the relative motions of the links of the mechanisms produced remain unchanged.

INVERSION

Four Bar Chain Mechanism

  • Beam Engine (crank and lever mechanism)
  • Coupling rod of a locomotive (double crank mechanism)
  • Watt’s Indicator (Double lever mechanism)

Single Slider Crank Mechanism

  • First Inversion
    • Reciprocating engine or compressor.
  • Second Inversion
    • Whitworth quick return mechanism, Rotary I.C. engine (Gnome engine) etc.
  • Third Inversion
    • Slotted crank mechanism, Oscillatory engine.
  • Fourth Inversion
    • Hand pump, Pendulum pump or Bull engine.

Double Slider Crank Mechanism

  • Elliptical trammels.

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