Question

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 

• A. plane
• B. cylindrical
• C. spherical
• D. a surface of revolution

Hint:

In machining, the movement of a cutting tool with a perpendicular directrix to the generatrix typically generates a cylindrical surface. This is key when understanding complex shaping operations.

Answer 1

The Correct Option is B

In this machining operation, the cutting tool traces a workpiece where the directrix (the guiding line or path) is perpendicular to the plane of the generatrix (the profile or shape being traced by the tool). This type of operation generates a cylindrical surface.
- The generatrix is the outline or profile of the tool path.
- The directrix is the line that defines the movement of the tool, and when it is perpendicular to the plane of the generatrix, it creates a cylindrical shape as the tool moves along the workpiece.
In summary, when a tool's cutting action involves a perpendicular directrix to the generatrix, it generates a cylindrical surface. Hence, the correct answer is (B).