In order to balance the reciprocating masses:-

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SSC JE ME Previous Paper 20 ( Held on: 4 March 2017 Morning)
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  1. primary and secondary forces must be balanced
  2. primary couple must be balanced
  3. secondary couple must be balanced
  4. All options are correct

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Option 4 : All options are correct
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SSC JE ME 12

The unbalanced force due to reciprocating masses varies in magnitude but constant in direction while due to the revolving masses, the unbalanced force is constant in magnitude but varies in direction.

Unbalanced force,

\({F_U}\; = \;m.{\omega ^2}.r\left( {cos\theta + \frac{{cos2\theta }}{n}} \right)\; = \;m.{\omega ^2}.rcos\theta + m.{\omega ^2}.r \times \frac{{cos2\theta }}{n}\; = \;{F_P} + {F_S}\)

The expression (m. ω2.r cos θ) is known as the primary unbalanced force and is called secondary unbalanced force.

So for complete balancing of reciprocating masses:

1. Primary and secondary forces must be balanced

2. Primary and secondary couples must be balanced

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