6 Remove the 7kg weights one kg at a time Each time when one kg weight is

6 remove the 7kg weights one kg at a time each time

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6. Remove the 7kg weights, one kg at a time. Each time when one kg weight is removed, adjust the micrometer screw to move the bubble back to the center of the level, and record the reading of the micrometer screw in data table 2. 7. Calculate the strain for each value of the stress in steps 5 and 6, and record the results in data table 1 and 2. 8. For each data table, plot a graph of stress vs strain and fit a straight line to the data. 9. Determine the slope of the straight line (Young’s Modulus) for both cases. Data Sheet L 1 = 341 mm L = 670 mm D = .00061m A = Π(D/2) 2 = 2.92 x 10 -7 m 2
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Weight m (kg) Applied Force F = mg (N) Reading of the Micrometer Screw L 2 (mm) ΔL = L 2 -L 1 (mm) Strain ΔL/L Stress F/A (N/m 2 ) 1 9.8 346 5 .0075 3.36 x 10 7 2 19.6 360 19 .0284 6.71 x 10 7 3 29.4 369 28 .0418 1 x 10 8 4 39.2 379 38 .0567 1.34 x 10 8 5 49 388 47 .0701 1.68 x 10 8 6 58.8 402 61 .0910 2.01 x 10 8 7 68.6 414 73 .1090 2.35 x 10 8 Table 1 0 0.02 0.04 0.06 0.08 0.1 0.12 0 5 10 15 20 25 f(x) = 205.08x + 1.59 Stress vs Strain Strain Stress (x 10^7)
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Weight m (kg) Applied Force F = mg (N) Reading of the Micrometer Screw L 2 (mm) ΔL = L 2 -L 1 (mm) Strain ΔL/L Stress F/A (N/m 2 ) 1 68.6 414 73 .1090 2.35 x 10 8 2 58.8 403 62 .0925 2.01 x 10 8 3 49 389 48 .0716 1.68 x 10 8 4 39.2 378 37 .0552 1.34 x 10 8 5 29.4 368 27 .0403 1 x 10 8 6 19.6 358 17 .0254 6.71 x 10 7 7 9.8 349 8 .0119 3.36 x 10 7 Table 2 Calculations Table 1 Calculations 0 0.02 0.04 0.06 0.08 0.1 0.12 0 5 10 15 20 25 f(x) = 204.88x + 1.53 Stress vs Strain Strain Stress (x10^7)
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Discussion
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1. When the elastic limit is not exceeded, the deformation is recoverable so comparing both cases of increasing and decreasing the hanging weights, the strain should be the same for the same stress.
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