According to your boss the technical definition of fun for s

According to your boss, the technical definition of \"fun\" for such a tide is that passenger undergo an instantaneous upward* eccclcralion of 4g at launch and be flung up to a peak to 40m. Al I he peak height, the riders shou feel weightless becntwe the cord are slack (you should double check that this is the ease). She would like you to estimate the thickness oft Ik cords needed. The synthetic rubber composite material used in the cords has a Young\'s modulus of 3.0MPa and a density of 250 The breaking stress of the cord material can be adjusted by adding more fibers to the composite mix. This should be at least 5times greater than the expected maximum stress to avoid unfortunate lawsuits. Therefore, she would also like to know what breaking stress should be spccificd for the cord material. Remember to state dearly any approximating assumptions you make In your calculation so th.1t these may be addressed in later stages of the design process. At lunch. you are talking with your friend who had worked on bungee rides before about how to Approach the problem. I Ic said that the key was to start by thinking of the cords as ideal, massless springs with length L and force constant k. He suggests that you can use a free body diagram to figure our how much forcc the cords will need to exert on the capsule while the maximum height of the capsule tells you how much energy needs to be stored in the cords. This should give you information about k and L You can then use what you know about elasticity to find the cross section area.

Solution

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