Hanging Bridge

 

                  

Where do the curves match? Where do the two curves diverge from one another? What does this tell you about the system?

Two curves match at approximately m=0.09 kg and start the diverge when m >0.1. This means smaller masses match better the experimental data.

-What are the limitations on the accuracy of your measurements and analysis?

The uncertainty is  about +/-0.02665

For larger masses we need to consider friction, rope elasticity and rotational inertia.

-What will you report to your supervisor? How does the vertical displacement of an object suspended on a string between two pulleys depend on the mass of that object? 

The vertical displacement of an object hanging between two pulleys is proportional to the mass of the object, but theoretical model holds only for small masses. For masses larger than 0.1kg the predicted displacements are significantly larger than experimental values, and this suggests the presence of additional effects such as pulley friction and rope elasticity

-Did your measurements of vertical displacement of object B agree with your initial predictions? If not, why? State your result in the most general terms supported by your analysis.

Initially yes, but as the mass increased measurements began to deviate significantly from the theoretical model. This is due to the assumptions in the model-frictionless pulleys and a massless string-not holding true in the real system. As the mass increases, additional factors like pulley friction and rope elasticity of the pulleys influence the displacement.

-Do the pulleys behave in a frictionless way for the entire range of weights you will use? How can you determine if the assumption of frictionless pulleys is a good one?

The pulleys do not behave in a frictionless way for the entire range of weights. The assumption of frictionless pulleys is reasonable for small masses, but once the mass increases, deviations from the theoretical predictions suggest that friction of the pulleys are influencing the system. To determine whether the assumption is valid, we should compare the theoretical predictions with the experimental data at various mass levels which shows that the friction is a significant factor.

-What information would you need to apply your calculation to the walkway through the rainforest?

To apply the calculation to the walkway through the rainforest, we need to consider factors that were not considered in the initial model. We need to know the weight of the rope or string, the frictional forces acting on the pulleys, and the rotational inertia of the pulleys. These would affect how the displacement changes.