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In a machining operation, if a cutting tool traces the workpiece such that the directrix is perpendicular to the plane of the generatrix as shown in the figure, the surface generated is

1. cylindrical surface
2. conical surface
3. helical surface
4. surface of revolution

Correct answer: helical surface

Solution

When the directrix is perpendicular to the plane of the generatrix and the tool motion combines rotation with axial movement, the generated surface is helical. This is characteristic of screw-like geometry.

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