Fixed Rope and Wave Solution
Classical Mechanics
Level
4
A rope of length 1 is fixed to a wall at \(x=0\) and shaken at the other end so that
\[x(1,t) = \sin \omega t.\]
Which of the following is a possible displacement of the rope as a function of \(x\) and \(t\) consistent with these boundary conditions, assuming the waves of the rope propagate with velocity \(v=1\)?
by
Matt DeCross