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In this video, we learn Merchant’s Force Circle and the complete Merchant’s Theory of Metal Cutting, starting from basic concepts and moving into step-by-step derivation of shear angle (ϕ), force relationships, velocity diagrams, and tool life equations. This class is extremely important because Merchant’s Circle is one of the most repeatedly asked topics in university exams, viva, and competitive exams. 🔥 What’s Explained in This Video 1️⃣ Merchant’s Theory (Introduction + Logic) Assumptions of orthogonal cutting Why forces form a circle relationship 2️⃣ Derivation of Merchant’s Equation Geometric breakdown 3️⃣ Merchant’s Force Circle (Graphical Derivation) Construction of the circle Shear force (Fs) & normal force (Fn) Friction force (F) & normal force (N) Relation between Fc, Ft, Fs, Fn How μ = tan β is used 4️⃣ Velocity Relationships Merchant velocity diagram Shear velocity Vs Chip flow velocity Cutting velocity Vc 5️⃣ Cutting Power & Cutting Forces 6️⃣ Tool Wear Causes and effects of tool wear 7️⃣ Tool Life (Taylor Equation) VTⁿ = C Merchant Circle Derivation, Merchant Force Circle, Merchant’s Equation Shear Angle, Orthogonal Cutting, Tool Wear, Taylor Tool Life, Cutting Forces MTM, Metal Cutting Lecture, Machine Tools and Metrology Module, KTU MTM Notes, Production Engineering, Manufacturing Science.