The number of instantaneous centres of rotation for a 10-link kinematic chain is

This question was previously asked in
ESE Mechanical 2014 Official Paper - 2
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  1. 36
  2. 90
  3. 120
  4. 45

Answer (Detailed Solution Below)

Option 4 : 45
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Detailed Solution

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Concept:

The instantaneous centre method of analysing the motion in a mechanism is based upon the concept that any displacement of a body having motion in one plane, can be considered as a pure rotational motion of a rigid link as a whole about some centre, known as an instantaneous centre.

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 then:

Calculation:

Given:

n = 10

∴ 

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