ENG252 : Dynamics - Properties of the Bungee Cord - Engineering Assignment Help

Assignment Task :

Your Job
In experiment 1 you put some theory behind a proposed car-leaping movie segment to be performed by crazy stunt car drivers. In this experiment you’ll look at people trusting their lives to another weird example of dynamic behaviour. This time it’s bungee jumping, and again it involves scale models.
Here you must calculate the precise length of bungee cord required for a mass dropped from the 3rd floor of the Engineering building (or from given distance) to get as close as possible to the ground, without actually touching it! You will be given the details of the mass, the drop height and a sample of the bungee cord to test, and from this you will be expected to come up with a proposed length. You will check your prediction with an actual test or simulation

Tasks for this experiment
From your tests in the first laboratory period you will need to be able to find the stiffness properties of a sample the bungee cord (see guidance below).
After the first laboratory period, following instructions in the Report section below, you will need to calculate a number of quantities, predict the required length(s) of bungee cord (using work-energy) and report on your findings.
In the second laboratory period you will hand in your report (internal students), specify your predicted length(s) of bungee cord, and test your prediction(s)

Procedure for finding the elastic properties of bungee cord (Laboratory period 1)
You will be provided with a range of materials which can be used to determine the spring (elastic) constant k.
You know that F=kx and therefore k=F/x, so to determine k you will need to apply a force and measure the distance of stretch or stretch the bungee a known distance and measure the applied force. Make sure you measure the unstretched length of your test piece of bungee;
you will need it in your later calculations.
 

The equations above assume “linear behaviour”, so you will need to check for non-linear behaviour as below.
Most materials, including steel and aluminium have a linear elastic region, that is, where the force applied and the distance stretched have a linear relationship (i.e. if you apply 100N and get 10cm stretch, then 200N will give you 20cm stretch).
However, beyond the linear elastic limit, the linear relationship breaks down and becomes nonlinear. You will need to do a range of measurements to determine where the linear elastic limit is and how the behaviour of the material changes beyond that point.

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