Direction: In an orthogonal cutting experiment, an HSS  tool having the following tool signature in the  orthogonal reference system (ORS) has been  used: 0-10-7-7-10-75-1  Given: Width of cut = 3.6 mm, Shear strength  of workpiece material = 460 N/mm²; Depth of  cut = 0.25 mm; Coefficient of friction at chip  tool interface = 0.7.  
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					 Shear plane angle (in degrees) for minimum cutting force is
 
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- 20.5
 - 28.6
 - 24.5
 - 32.5
 
 
Correct Option: D
α = 10°, 
w = 3.6 mm  
μ = 0.7  
For minimum cutting force,  
By using Ernest & Merchant’s theory  
2φ + β – α = 90°  
φ = 32.50°  
τs = 460 N/mm², d = 0.25 mm  
ft = fcos ψ
ψ = 90 – 75  
ψ = 15°  
ft = t1 = cos 15° × 0.2