Position y 1 m Displacement y y 1 y o m 005 010 147 1242 100 005 015 196 1239

Position y 1 m displacement y y 1 y o m 005 010 147

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Position y 1 (m) Displacement y = y 1 – y o (m) 0.05 + 0.10 1.47 124.2 .100 0.05 + 0.15 1.96 123.9 .400 0.05 + 0.20 2.45 123.1 1.20 0.05 + 0.25 2.94 121.7 2.60 0.05 + 0.30 3.43 120.7 3.60 0.05 + 0.35 3.92 119.3 5.00 0.05 + 0.40 4.41 118.3 6.00 0.05 + 0.45 4.90 117.1 7.20 0.05 + 0.50 5.39 116.05 8.25 y o = 124.3 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 f(x) = 0.45x + 1.72 Weight vs Displacement Displacement (m) Weight (N) Slope = k = .4478 N/m
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Table 2 Mass of total weight m (kg) Time for 20 cycles for 1cm amplitude (s) Time for 20 cycles for 3cm amplitude (s) 0.05 + 0.30 12.57 12.33 Table 3 Mass of total weight m (kg) Time for 20 vibrations (s) Average time for 20 oscillations (s) Oscillation period T (s) T 2 (s 2 ) 0.05 + 0.20 9.80 9.85 .4925 .2426 9.68 10.06 0.05 + 0.25 11.17 11.19 .5595 .3130 11.23 11.16 0.05 + 0.30 12.15 12.11 .6055 .3666 12.02 12.15 0.05 + 0.35 12.86 12.95 .6475 .4193 13.00 12.98 0.05 + 0.40 13.54 1.55 .6775 .4590 13.53 13.58 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 f(x) = 0.92x + 0.02 Mass vs T2 T^2 (s^2) Mass (kg)
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Table 4 Length L of pendulum (m) Time for 20 vibrations (s) Average time for 20 oscillations (s) Oscillation period T (s) T 2 (s 2 ) 0.10 13.29 13.63 .6817 .465 14.13 13.48 0.20 19.16 18.82 .9412 .886 18.47 18.84 0.30 23.18 22.70 1.135 1.288 22.49 22.43 0.40 25.17 25.13 1.2565 1.579 25.03 25.20 0.50 28.41 28.33 1.4165 2.006 28.37 28.22
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0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 0 0.1 0.2 0.3 0.4 0.5 0.6 f(x) = 0.26x - 0.03 Length vs T2 T^2 (S^2) Length (L) Discussion1.Analyze each of the reasons for errors:a) Timing the oscillations (start and stop)
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