In an orthogonal cutting, a tool has rake angle of zero degree. Measured cutting force and thrust force are 500N and 250N respectively. The coefficient of friction between the tool and chip is

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UPPSC AE Mechanical 2022 Official Paper I (Held on 29 May 2022)
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  1. 0
  2. 0.4
  3. 2
  4. 0.5

Answer (Detailed Solution Below)

Option 4 : 0.5
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Concept:

Orthogonal cutting is a type of metal cutting in which the cutting edge of the wedge-shaped cutting tool is perpendicular to the direction of tool motion.

Friction force is given as, F = Fc sinα + Ft cosα

Normal force is given as, N = Fc cos α – Ft sin α

Shear Force is given as, Fs = Fc cos ϕ - FT sin ϕ 

Calculation:

GIven:

Rake angle (α) = 0°, Fc = 500 N, Ft = 250 N

F = Fc sinα + Ft cosα

F = 500 sin0 + 250 cos0 = 250 N

N = Fc cos α – Ft sin α = 500 cos 0 = 500 N

Coefficient of friction (μ) = F/N = 250/500 = 0.5
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