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p02102

# p02102 - 314 CHAPTER 2 DIMENSIONAL ANALYSIS 2.102 Chapter 2...

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314 CHAPTER 2. DIMENSIONAL ANALYSIS 2.102 Chapter 2, Problem 102 Problem: To simulate an accident in which a victim jumped from a building into a fireman’s safety net that ripped upon impact, a lawyer dropped a dummy of twice the weight from one fourth the altitude of the victim’s fall into an exact duplicate of the net. This guaranteed that the dummy’s momentum in the experiment matched that of the victim in the accident. The net tore in the experiment, and left the net manufacturer in jeopardy of being liable for a huge financial award to the victim. The defense attorney hired an accident simulation expert who used dimensional analysis to demonstrate that the victim’s lawyer’s experiment failed to achieve dynamic similitude. The key dimensional quantities are the mass of the falling object, M , the object’s velocity, U , the Young’s modulus of the net material, E , the thickness of the net material, t ,and the diameter of the net, d . Note that Young’s modulus has dimensions of force per unit area.

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p02102 - 314 CHAPTER 2 DIMENSIONAL ANALYSIS 2.102 Chapter 2...

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