Q.3) A 200-kg load is supported by the rope and pulley system shown. Pulley A has a mass of 4 kg and the mass of the rope is negligible. Assume the pulley is frictionless and treat pulley A as a particle. a) If ß = 10°, determine the magnitude of the applied force P and its direction (a) in order to keep the system in static equilibrium assuming 0° ≤ a ≤ 90°. b) Given 0° ≤ a ≤ 90°, find the range of ß angles for which the system can be in static equilibrium (write an inequality for the range assuming ß cannot exceed 90°). P B

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.