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Tony's Intertwingled Memex • Reference Manual

Robotics & Obstacle Avoidance (Arm Clearance Analysis)

Formulas & Definitions

A manufacturing robot arm contains a rigid, straight forearm segment. In the factory floor's 3D coordinate mapping zone (measured in decimeters), the axis line of this robotic arm segment is defined by the symmetric equation:

x−12=y−23=z−12\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-1}{2}

A critical electrical power terminal box is mounted as a static point at coordinate M=(4,3,7)M = (4, 3, 7).

  1. Calculate the minimum clearance distance between the terminal box and the centerline of the moving robotic arm segment.