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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 image00.pngimage00.png

The depression of a cantilever beamimage05.pngimage05.png, is related to its length,image12.pngimage12.png, by the equation image00.pngimage00.png , where

image26.pngimage26.png. 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.

...read more.

Middle

Quantitative Data:

Table of Results:

Load image13.pngimage13.png (g)

Depression image01.pngimage01.png

(± 0.05 cm)

Length image07.pngimage07.png

(± 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


...read more.

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.

...read more.

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