# Essay Physics Cantilever Lab

1253 Words Dec 3rd, 2012 6 Pages
Independent Assessment Physics Lab (SL): Cantilever Flexion
Cherno Okafor
Mr. Ebrahimi
SPH4U7
October 21st, 2012

Introduction

Purpose: The purpose of this Physics Lab is to investigate what factors determine the amount of flexion of the cantilever. Hence, the objective is to establish a relationship between the length of a cantilever, which may give some insight into the physics of cantilevers.

Hypothesis: If one increases the length of a cantilever, one would expect there to be an increase in deflection/flexion of the cantilever. Similarly, if one increases the mass of the load, one would expect there to be an increase in the deflexion/flexion of the cantilever. In addition, I predict that proportionality will also occur
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(ii) Relationship between the deflection/flexion and the length of the cantilever (5 trials)

Table #2- Experiment B Factor/Variable | Trial 1 | Trial 2 | Trial 3 | Trial 4 | Trial 5 | Trial 6 | Trial 7 | Trial 8 | Trial 9 | Trial 10 | Length of cantilever (cm) | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 | Height without Load (cm) | 95.5 | 95.5 | 95.5 | 95.5 | 95.5 | 95.5 | 95.5 | 95.5 | 95.5 | 95.5 | Height with Load (cm) | 69.5 | 76.5 | 82.5 | 87.4 | 90.9 | 93.2 | 94.5 | 95.5 | 95.5 | 95.5 | Flexion (cm) | 26 | 19 | 13 | 8.1 | 4.6 | 2.3 | 1 | 0 | 0 | 0 |

Now I will graph this relation:

We can see that there is an exponential/power relationship (curved) between the flexion and the cantilever length.

Analyzing Evidence

Patterns:

1) In experiment A, the relationship between the flexion and the load is proportional as predicted. As the load increases, the flexion increases as well. As the load doubles from 200g to 400g, the deflection almost doubles too. 2) In experiment B, the deflection increases as the length of the cantilever increases. But