PHYS 598 hw6

PHYS 598 hw6 - Physics 498/MMA Handout 6 Fall 2007...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Physics 498/MMA Handout 6 Fall 2007 Mathematical Methods in Physics I http://w3.physics.uiuc.edu/ m-stone5 Prof. M. Stone 2117 ESB University of Illinois 1) Flexible rod again : A flexible rod is supported near its ends by means of knife edges that constrain its position, but not its slope or curvature. It is acted on by by a force F ( x ). F(x) x=0 x=1 y x Simply supported rod. The deflection of the rod is found by solving the the boundary value problem d 4 y dx 4 = F ( x ) , y (0) = y (1) = 0 , y 00 (0) = y 00 (1) = 0 . We wish to find the Green function G ( x, y ) that facilitates the solution of this problem. a) If the differential operator and domain (boundary conditions) above is denoted by L , what is the operator and domain for L ? Is the problem self-adjoint? b) Are there any zero-modes? Does F have to satisfy any conditions for the solution to exist? c) Write down the conditions, if any, obeyed by G ( x, y ) and its derivatives x G ( x, y ), 2 xx G ( x, y ),...
View Full Document

Page1 / 3

PHYS 598 hw6 - Physics 498/MMA Handout 6 Fall 2007...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online