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This lecture covers the fundamentals of cutting dynamics, including the exploitation of the merchant law in both isotropic and high resistance materials. It delves into the general processes of cutting, the energy consumption in plastic deformation, and the division of materials by blades with varying resistance. The lecture also explores various cutting processes, such as 5-axis and 3-axis machining, and the advantages they offer in terms of precision, flexibility, and surface condition. Additionally, it discusses the objectives of the chapter, which include understanding the laws governing the cutting process, specifying ratios of quantities like shear angle and cutting force, and selecting tools and cutting fluids to optimize manufacturing costs and energy efficiency.