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Involute gears: dependence of sliding velocity on contact position Consider a point of contact on the line of action at a distance from the pitch point. State how the sliding velocity varies with the distance from the pitch point.

Difficulty: Medium

It is directly proportional to the distance from the pitch point
It is inversely proportional to the distance from the pitch point
It equals cosφ times the rolling velocity
It does not depend on the contact location

Correct Answer: It is directly proportional to the distance from the pitch point

Explanation:

Concept
For involute gears, the rolling (no-slip) point is the pitch point. The sliding velocity at any other contact point on the line of action is proportional to its distance from the pitch point:

v_slide = (ω₁ − ω₂) · r′with r′ measured along the line of action from the pitch point.

Implication
• At the pitch point, distance = 0 → no sliding.
• Away from the pitch point, sliding increases linearly.

Final Answer
Directly proportional to the distance from the pitch point

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Involute gears: dependence of sliding velocity on contact position Consider a point of contact on the line of action at a distance from the pitch point. State how the sliding velocity varies with the distance from the pitch point.

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