Needing a solution to this question. 5) A rope of mass m and length â„“ hangs...

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Needing a solution to this question.
5) A rope of mass m and length â„“ hangs from a ceiling. Show thatthe wave speed on the rope a distance y above the lower end is v=Square root of gy (10). Would such a hanging rope support a â€œwaveâ€,as per our definition in Q1? Explain in words?
******NOTE this is question one (Q1). It has been solvedalready. Just for reference. Thanks
Q1) A good definition of a â€œwaveâ€ is a disturbance of acontinuous medium that propagates with a fixed shape at constantvelocity. (Griffiths, 1999, Introduction to Electrodynamics).Another way of saying this is the medium (e.g. a string, water, orair) will only propagate a wave as long as its shape satisfies thewave equation: d^2 f/dx^2 =1/v^2 . d^2 f/dt^2 a) Show explicitlywhether the displacement function f(x,t) = A sin(kx) cos(Ï‰t) willbe propagated in a medium as a wave or not. (5) b) Do the same forthe function f(x,t) = A exp(âˆ’b(bx2 + vt)) (5) c) Could a stringsupport a disturbance of the form f(x,t)=Asin(kx)cos(xâˆ’Ï‰t) as awave? Your professor will show you what this looks like in classand you will immediately

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3.6 Ratings (508 Votes)

5 From the concept of Transverse wave on strings rope the speed of the wave is v sqrtTmue 1 where T is the Tension in the string mue is Linear See Answer

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