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Prove that the velocity of sliding is proportional to the distance of the point of contact from the pitch point with respect to gears.

Subject: Kinematics of Machinery

Topic: Gears and Gear Trains

Difficulty: High

1 Answer
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The sliding between a pair of teeth in contact at Q occurs along the common tangent T T to the tooth curve as shown in fig. The velocity of sliding is the velocity of one tooth relative to its mating tooth along the common tangent at the point of contact. …

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