The length of nylon rope from which a mountain climber is suspended has a force constant of 1.35 × 104 N/m. What is the frequency, in Hz, at which he bounces, given his mass and the mass of the equipment is 92kg? How much would this rope, strecth in centimeters, to break the climber's fall if he free-falls 2.8m before the rope starts to stretch? What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 92 kg if the rope is twice as long?

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Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.