Sir Lancelot climbs a ladder. The ladder has total length I and mass m₁, and makes an angle with the horizontal. There is no friction between the ladder and the wall; between the ladder and the ground there is static friction with static friction coefficient μg. Sir Lancelot has mass ms = 5 my: the acceleration of gravity is g. The ladder has 10 rungs with mutual distance L/10; the bottom rung is on distance L/20 from the bottom. See right figure. When Sir Lancelot is positioned on rung n (with n <10), the situation is still stable. When he steps on rung n+ 1 the ladder slips and he falls to the ground. Calculate the minimum value μs,min and the maximum value μs,max of the static friction coefficient (so, μs,min Hs

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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.