Oscillations of Mass on Beam: Investigating Results

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Homework Help Overview

The discussion revolves around measuring the oscillations of a mass on a beam to validate the relationship T^2 = k l^3, where k is a constant. The original poster notes that while the initial results align with their expectations, the last two results deviate significantly, particularly at longer beam lengths. They question whether this discrepancy could be due to the increased mass of the beam affecting the time period.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the implications of the results deviating from the expected model, particularly at longer lengths of the beam. Questions arise regarding the assumptions made in deriving the time period equation and the potential failure of the simple harmonic motion approximation at larger oscillations.

Discussion Status

The discussion is active, with participants questioning the underlying assumptions of the model and exploring the reasons for the observed discrepancies in the results. Some guidance has been offered regarding the limitations of the SHM approximation in this context.

Contextual Notes

There is a focus on the impact of beam length and mass on the oscillation results, with specific attention to the conditions under which the original poster's model may not hold true. The discussion hints at the need for further examination of the assumptions made during the derivation of the time period equation.

lozzyjay
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ok so, my coursework is to measure the oscillations of a mass on a beam to prove that T^2 = k l^3 when k is a constant of proportionality. And basically when plotting the graph of my results, the first 8 results fit exactly on my line of best fit but the last two are completely off. These results where at the longest lengths of the beam. Would this affect the time period in any way? Would it be because there is a greater mass as there is more of the beam oscillating?
Please help!
 
Last edited:
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The SHM-approximation fails at large oscillations so that's where your model might fail.
 
does anyone know why this is?
 
lozzyjay, can you think of the reason? When you derived the equation for the time period, what approximation did you use?
 

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