A steel wire of length is clamped at both ends ( at and at for all times) and set…

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Partial differential equations and boundary-value problems · Partial differential equations and boundary-value problems

Mathematical Methods for Physics, Ch The classical partial differential equations of physics and their boundary conditions

Problem

A steel wire of length

L = 1.2\,\mathrm{m}

is clamped at both ends (

y=0

x=0

and at

x=L

for all times) and set vibrating according to the wave equation

\partial_t^2y = c^2\partial_x^2y

. State how many initial conditions and how many boundary conditions the problem needs for its solution to be uniquely determined, name each condition in words, and give the location at which each boundary condition applies.

Browse the problem library