Assignment Task :

Introduction
Two masses connected by a string and pulley (or pulleys) is known as an Atwood’s machine

M1

 

In this experiment you are going to run a simulation of an Atwood’s machine to investigate the relationship between
a)
the acceleration of the masses and the total mass M1 + M2 and 
b) the acceleration of the masses and the difference in the masses M1 – M2

Procedure 
The simulation can be found using the following link:
The acceleration of the masses can be found from the slope of the velocity – time graph and you will have to estimate this. Click reset to start the next run.

In the first part of the experiment you will investigate the relationship between the total mass of the system and the acceleration. You will have to keep the mass difference constant and change the total mass. You can do this by adding the same mass to both M1 and M2. You should collect between six and ten sets of data; the more data the better. (You only need to do one run per pair of masses. This is a simulation and so gives the same acceleration each trial. In real-life, you would repeat each trial several times.) Remember to record the masses in kilograms. Start with 
M1 = 0.100kg and M2 = 0.050kg. Experiment with the simulation to make sure that you get a good spread of data.  Remember, for each new trial you should be adding the same mass to each of M1 and M2, recording those masses, and then finding the acceleration of the system from the velocity-time graph.


In the second part of the experiment you will investigate the relationship between the mass difference and the acceleration. You will have to keep the total mass constant and change the mass difference. You can do this by taking mass from M2 and adding it to M1. Again, collect between six and ten sets of data. Start with M1 = 0.105kg and M2 = 0.095kg.
 

Analysis
1.
For the first part, plot a graph of acceleration versus total mass. Label the axes, give the graph a title, add a trendline with equation, and add a caption below. If this graph is not linear, plot a second graph that is. Again, make sure that the graph is fully labelled.

2. For the second part, plot a graph of acceleration versus difference in mass. Label the axes, give the graph a title, add a trendline with equation, and add a caption below. If this graph is not linear, plot a second graph that is. Again, make sure that the graph is fully labelled.

 

Discussion
State the relationship, as a proportionality, between the acceleration and the total mass. State the relationship, as a proportionality, between the acceleration and mass difference.
If this experiment was carried out in real-life, how do you think the results would differ? Explain.

 

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  • Uploaded By : Grace
  • Posted on : December 16th, 2018

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