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Crab winch is a differential lifting machine used to lift a Load W as shown in Figure 4. A handle of radius [r] 350 mm is used to rotate gear A having 20 teeth, which in turn rotates gear B with 120 teeth, gear C with 25 teeth and gear D with 150 teeth. The drum diameter [D] of each gear is 60mm. The following readings were obtained during a test on the winch. Load[W] 0 1 2 3 4 5 6 7 8 9 10 (E) 1 2.2 6.6 11.817 22.2 27.2 32.2 36.8 41.6 46.6 52 Based on your evaluation of the data given in Table: (a) Plot a graph of effort against load and determine the law of the machine, (b) Plot a graph of mechanical advantage against load, (c) Plot a graph of efficiency against load and state whether the machine is likely to overhaul, (d) Evaluate the theoretical limiting values of mechanical advantage and efficiency and state whether your graphs plotted in (b) and (c) tend towards the values obtained.
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