(a) Figure 4.1 shows a simple pulley system that is used to lift a weight m of 10 kg by application of a force F. Assuming gravitational acceleration g = 10 m/s², Calculate: (i) the force F required to accelerate m to 2 m/s² in an upwards direction. You may assume the wheel and rope are frictionless. (ii) the work done during the first 3 s assuming m was initially at rest. Your solution should show ALL working out to attract full marks. (b) Add another two wheels, that can be either fixed or movable, to the pulley system in order to minimise the required pull force. You should draw the new pully system and determine the new force.

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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.