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With the help of neat sketch, derive the equation for the minimum number of a pinions for involute rack in order to avoid interference.

Subject: Kinematics of Machinery

Topic: Gears and Gear Trains

Difficulty: Medium

1 Answer
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​The addendum circles for two matting gears must cut the common tangent to the base circles between the points of tangency.The limiting condition reaches, when the addendum circles of pinion and wheel pass through points N and M as shown in fig respectively.

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Let t= Number of teeth on the …

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