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# Equilibrium Experiments.

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Introduction

Equilibrium Experiments Aim: To investigate the theory of equilibrium via the completion of two experiments which rely on the use of equations TPLcos? +TPMcos?, which can be rewritten as (Mass Ag) cos?+(Mass Bg) cos?. For the second part of the investigation I will try to prove the equation (W*x)/d +weight of a ruler. Introduction In this investigation I will carry out two experiments, which in each case will prove a different aspect of the theory of equilibrium. There are two theories' I wish to prove. The first is " tension (Tpl) in the string Pl is equal to the weight of A and tension in the string pm (Tpm) is equal to the weight of B. For equilibrium the sum of the vertical components of these two tensions must be equal to the weight of c. Which means that: Tpl cos? + Tpmcos? = MassCg which can be written as (MassAg) ...read more.

Middle

Note value for the mass used and the distances x and d. 4. Repeat last two stages for several sets of masses and record results in tabular form Calculation These where done on paper by hand for ease of presentation Error Analysis I have generated my errors on the fact that I thought that I could only read the I choose the error of. The way in which I got the final answer out was to run through the calculation twice, once with the answer I got - the error and then again this time with the answer I got + the error. I think that in the first experiment I was a little over the top with the error. I said that I could read the angle to about 5. But when I did the calculation again with the new values. I found that the gap was quite large. ...read more.

Conclusion

After putting the numbers through the formula for weight of ruler, and then dividing the output by g, which was 10, I managed to get a value for the mass of the ruler. On average this value was 0.119g, which is only about 7% away form the real mass of 0.128g.on farther analysis and after calculating the upper and lower bounds by changing the results by adding or subtracting the errors I found that the outcome from adding the errors to the results and the outcome from subtracting the errors was the same, 0.119g. This meant that the error was not a large enough value to affect the results a significant way. Therefore finally I found that the mass on the ruler to 0.119g this is 7% out for the value, which I recorded as the mass for the ruler. The reason for this is unknown. I can only guess to the reason. One possibility is the mass I recorded for the ruler was out. And as my results are so consistent this is a large possibility. ...read more.

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