The Loading of a Cantilever

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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. The clamp used to fasten the ruler

to the table will be sufficiently tight to hold the ruler with no

danger of it slipping or moving, (yet not so tight that it could

damage the table.)

Variables

Independent Variable: Mass on ruler

Dependent Variable: Depression of ruler

I have kept the distance that the ruler is from the edge of the table

constant, (95cm is over the edge of the table.) I have not altered the

set up of the apparatus throughout the experiment for measuring either

the depression for the known masses or the unknown mass. I have kept

the way that I have measured the depression the same throughout and to

ensure that this is as accurate as possible I have used a protractor

to take the measurements, (see 'method'.)

Diagram

Method

The apparatus was set up as shown above.

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