The number of instantaneous centres of rotation in a quick return motion mechanism are

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UPPSC AE Mechanical 2013 Official Paper I
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  1. six
  2.  eight
  3. twelve
  4. fifteen

Answer (Detailed Solution Below)

Option 1 : six
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Concept:

The number of instantaneous centres in a considered kinematic chain is equal to the number of combinations of two links: If N is the number of instantaneous centres and n is the number of links.

\(N = \frac{{n\left( {n - 1} \right)}}{2}\)

Crank and slotted lever quick return motion mechanism is an inversions of Single Slider Crank Chain which is a modification of the basic four-bar chain.

Theory of Machines I D4

Calculation:

The number of instantaneous centers:

\(N = \frac{{L\left( {L - 1} \right)}}{2} = \frac{{4\left( {4 - 1} \right)}}{2} = 6\)

where L is the number of links.
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