Body U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in contact along the frictionless interface at 45 to the vertical. The body U is in contact with the frictionless vertical wall. Body W lies on the floor with coefficient of friction u. Relevant dimensions are shown in the figure. Express the results in terms of given quantities: m, g, h and u. The system moves. Write the condition that the velocities of U and W must satisfy for the two bodies to remain in contact. Consider the fact that this condition must be satisfied as long as the two bodies are in contact. What can you say about accelerations of the two bodies? Using the equations of motion for the two bodies compute the accelerations during the motion while in contact.

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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.