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Physics lab - Cantilever Beam

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Introduction

Name: Laraib Hussain

Class: IB 1

Date: 1st March 2011

Physics Lab 2: Cantilever Beam

Title:  Bending of a cantilever beam

Aim:To investigate the bending of a cantilever beam and to determine the mathematical constants involved in the equation x = kln

Hypothesis and Theory:The depression of a cantilever beam is given by the equation  The depression of a cantilever beam  , is related to its length,  , by the equation  , where  . The length of the beam varies with the depression according to the mass that has been used. If we plot a graph with these variables we will get a curve, but it is not clear from this curve what the values of k and n work out to be.

Middle

Quantitative Data:

Table of Results:

 Load  (g) Depression  (± 0.05 cm) Length  (± 0.05 cm) ln x(± 0.05 cm) ln l(± 0.05 cm) Trial 1: Beam 1 200.00 22.00 80.00 3.09 4.38 18.50 75.00 2.92 4.32 16.50 70.00 2.80 4.25 12.50 65.00 2.53 4.17 10.50 60.00 2.35 4.09 8.50 55.00 2.14 4.01 6.50 50.00 1.87 3.91 4.00 45.00 1.39 3.81 3.00 40.00 1.10 3.69 2.00 35.00 0.69 3.56 1.00 30.00 0.00 3.40 Trial 2: Beam 2 400.00 21.00 80.00 3.04 4.38 17.50 75.00 2.86 4.32 14.50 70.00 2.67 4.25 13.50 65.00 2.60 4.17 9.00 60.00 2.20 4.09 7.00 55.00 1.95 4.01 5.00 50.00 1.61 3.91 3.50 45.00 1.25 3.81 2.50 40.00 0.92 3.69 1.50 35.00 0.41 3.56 1.00 30.00 0.00 3.40

Conclusion

Evaluation:

Limitations of the experiment:

• The time allocated for the experiment was not enough for repeating the experiment to get more readings.

Weaknesses of the experiment:

• The rulers used were not calibrated properly.
• The rulers were bent; hence it will affect the length of depression.

Possible sources of error:

The possible errors that were made were parallax errors when taking the readings.

Possible improvements to the experiment:

• More time should be allocated for the experiment so that the experiment could be repeated to get more accurate results.
• Proper Calibrated Meter Rulers should be used.
• Meter Rulers which are straight and not bent should be used.

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