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GATE 2025 PI – Question 52

Manufacturing Processes II · Machining · 2 marks · Numerical answer

Orthogonal cutting uses rake angle 10°, cutting force 900 N and thrust force 275 N. Find rake-face friction coefficient (two decimals).

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Correct answer: 0.49 to 0.53

Explanation

Rake-face friction and normal forces are $F=F_c\sin\alpha+F_t\cos\alpha$ and $N=F_c\cos\alpha-F_t\sin\alpha$. Substituting gives F ≈ 427.10 N and N ≈ 838.57 N. Thus $\mu=F/N\approx0.5093$, rounding to **0.51**.

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