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GATE 2025 PI – Question 40

Manufacturing Processes II · Computer Integrated Manufacturing · 2 marks · Multiple choice

A CNC vertical mill cuts a straight XY slot from P = (10,5) mm, shown in the figure. Slot slope dy/dx = 1.25 and X feed is 120 mm/min. Find the cutter position after 20 s.

Diagram for GATE 2025 PI question 40
  1. (50,55)
  2. (60,50)
  3. (60,48)
  4. (100,80)

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Show answer and explanation

Correct answer: (A) (50,55)

Explanation

Time is 1/3 minute, so $\Delta x=120/3=40$ mm. The slope gives $\Delta y=1.25(40)=50$ mm. Adding the initial coordinates gives **(50,55), A**.

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