• Support PF! Buy your school textbooks, materials and every day products Here!

Transverse Displacement of Stretched String: Derivation of Poisson Eq.

  • Thread starter UAR
  • Start date
  • #1
UAR
8
0
Please how would one derive the Poisson Equation model,

[tex]\nabla^{2}\psi(x) = \frac{F(x)}{T}[/tex],

for Transverse displacement [tex]\psi(x)[/tex] of a stretched string under constant non-zero tension T and an externally applied transverse force F(x) . Assuming small angle with the horizontal (i.e [tex]sin(\theta)\approx\theta[/tex]) ?

Thanks
 
Last edited:

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
5,002
6
Start by by drawing a picture and labeling all the forces acting on the string. Then apply Newton's second law.
 

Related Threads for: Transverse Displacement of Stretched String: Derivation of Poisson Eq.

Replies
5
Views
22K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
813
Replies
1
Views
688
Replies
0
Views
1K
Replies
3
Views
581
Top