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Investigation in the loading of a cantilever

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Investigation in the loading of a cantilever Aim & Hypothesis I anticipate that the loading of the cantilever will show a proportional increase in the depression of the wooden ruler which will relate directly to the mass which is applied to it. This relationship is expressed in Hooke's Law, which states that "stress is directly proportional to strain." I believe that the experiment which I am going to carrying out involving the cantilever will support this and will show that that increase in mass on the ruler will result in a proportional increase in the depression. If this is the case then I will be able to draw a graph of my results and then use this to work out an unknown mass by knowing the depression of the beam. Safety RISK ASSESSMENT - LEVEL ONE This experiment does not carry many hazards. Bags and coats will be moved out of the way to ensure that no one will trip over them. Whilst loading the beam care will be taken to make sure that the ruler will not spring back when the masses are placed on by holding it steady letting go slowly when they are on. ...read more.


However as long as I measured form either the top or the bottom (and did not alter this throughout the experimeny) it would not make any difference to the graph (I measured from the top.) After I had put on all 8 masses (800g) I took them all off and checked the ruler went back to the same point as before (which was 14.2mm.) I then repeated the experiment again so that in all I did the experiment a total of 3 times, I would then out the averages. Results Mass grams Depression 1 mm Depression 2 mm Depression 3 mm Average Depression mm -14.2 mm 0 14.2 14.2 14.2 14.2 0 100 20.1 20.1 19.9 20.0 5.8 200 25.7 25.8 24.7 25.4 11.2 300 30.4 31.3 31.2 31.0 16.8 400 35.7 35.8 35.8 35.8 21.6 500 39.0 41.2 41.1 40.7 26.5 600 45.5 45.4 45.4 45.4 31.2 700 49.4 49.4 49.3 49.4 35.2 800 52.7 52.8 53.1 52.9 38.7 Error + 0.05 + 0.05 + 0.05 + 0.15 + 0.15 Depression of unknown mass = 20.2 + 0.05 Analysis I thought that my graph/results would show a proportional increase between the load of the ruler and the depression, this is shown to be the case. ...read more.


To improve my experiment I could test my results further by using more unknown masses and then calculating the mass using my graph this would mean that I would be able to weigh the mass and then check that with my graph to see how accurate my results are. I could also improve the uncertainty by using a smaller scale as I have already mentioned. Conclusion My results have shown that my hypothesis was right and that my experiment has shown that the cantilever does obey Hooke's Law. (That "stress is directly proportional to strain".) In other words the mass that I put onto the ruler (cantilever) had a direct and proportional affect on the depression of the ruler. The values which I got for my experiment were what I expected and gave a positively correlation graph which I thought it would. Part of my aim was that I would be able to work out an unknown mass by using the graph which I have drawn form my results. I have done this sand found that unknown mass gave a depression of 20.2 mm and therefore the mass was 370g. Catherine Needham 12SL Physics Practical - 07/11/02 Catherine Needham 12SL Physics Practical - 07/11/02 ...read more.

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