A rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36   a) calculate the maximum value of b for which the rope will NOT start sliding down the slope.   Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. Let y (in metres) be the distance travelled by the rope after it has been released from rest.    b) calculate the initial acceleration of the rope    c) Calculate the work done by gravity as a function of y

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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.