GATE ME 2014 Set 3 — Question 64
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Manufacturing Processes → Machining & Machine Tools → Merchant's Circle & Forces
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Question
Which pair of following statements is correct for orthogonal cutting using a single-point cutting tool?P. Reduction in friction angle increases cutting force
Q. Reduction in friction angle decreases cutting force
R. Reduction in friction angle increases chip thickness
S. Reduction in friction angle decreases chip thickness
Q. Reduction in friction angle decreases cutting force
R. Reduction in friction angle increases chip thickness
S. Reduction in friction angle decreases chip thickness
Correct answer
(D) Q and S
Solution
Based on Merchant's theory for orthogonal cutting, the relationship between shear angle (), friction angle (), and rake angle () is given by:
If the friction angle is reduced, the shear angle must increase (assuming rake angle is constant).
If the friction angle is reduced, the shear angle must increase (assuming rake angle is constant).
1.Cutting Force (): The cutting force is generally inversely related to the shear angle. As increases, the shear plane area decreases, leading to a decrease in the cutting force . Thus, statement Q is correct.
2.Chip Thickness (): The chip thickness ratio is given by . As increases, the ratio increases, which means for a constant uncut chip thickness , the chip thickness decreases. Thus, statement S is correct.
Therefore, the correct pair is Q and S.Continue learning with Success Tracker
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