A taut semi-infinite homogeneous string occupies the interval 0 < x < and is terminated at a small ring of negligible mass at x = 0. The ring can slide frictionlessly up and down a pole perpendicular to the x axis. A displacement blip, u(x, t) = f(ct + x), propagates down the x axis from + toward x = 0. Find the string's motion at all times. Ans: u(x,t) = f(ct+x)+f(ct - x)

A taut semi-infinite homogeneous string occupies the interval 0 < x < and is terminated at a small ring of negligible mass at x = 0. The ring can slide frictionlessly up and down a pole perpendicular to the x axis. A displacement blip, u(x, t) = f(ct + x), propagates down the x axis from + toward x = 0. Find the string's motion at all times. Ans: u(x,t) = f(ct+x)+f(ct - x)