Blocks of granite are to be hauled up a 15° slope out of a quarry and dirt is to be dumped into the quarry to fill up old holes. To simplify the process, you design a system in which granite block on a cart with steel wheels (weight w1, including both block and cart) is pulled uphill on steel rails by a dirt filled bucket (weight w2, including both dirt and bucket) that descends vertically into the quarry. How must the weight w1 and w2 be related in order for the system to move with constant speed? Ignore friction in the pulley and wheels and ignore the weight of the cable.

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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.