Q8 Consider a stretched string of length 2L which is fixed at both ends. It is plucked a sixth of the way along its length by producing an initial displacement, h and then it is released. Obtain an expression for the variation in initial displacement along the length of the string. (a)

Q8 Consider a stretched string of length 2L which is fixed at both ends. It is plucked a sixth of the way along its length by producing an initial displacement, h and then it is released. Obtain an expression for the variation in initial displacement along the length of the string. (a)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter13: Continuous Systems; Waves

Section: Chapter Questions

Problem 13.9P

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Concept explainers

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.

Question

Consider a stretched string of length 2L which is fixed at both ends. It is plucked a
sixth of the way along its length by producing an initial displacement, h and then it is
released.
Q8
Obtain an expression for the variation in initial displacement along the length
of the string.
(a)

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