Question 4 A string of length 3 m and total mass 12 g is under a tension of 160 N. A transverse hamonic wave with wavelen ght 25 cm and amplitude 2 cm travels to the right along the string. It is observed that the displacement at x = 0 and at t = 0 is 0.87 cm. (a) What is the speed of the wave? (b) Write the wave function, y(x, t) and (c) Find the particle velocity at position x = 0 and at t= 10 s. What is the maximum particle velocity?

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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.