4. The vertical displacement u(x) of an elastic string of length 1 satisfies the boundary value...

 

Transcribed Image Text:

4. The vertical displacement u(x) of an elastic string of length 1 satisfies the boundary value problem T d²u for 0 < y < 1, where w(0) provide expressions for both a and 3. dx² + μu = p for 0 < x < 1, where u(0) = 0 and u(1) = U. Also, p is a constant and has the dimensions of force per length. (a) Determine the dimensions of the constants 7 and μ. (b) Show how it is possible to nondimensionalize the problem so it takes the form d²w dy² 0 and w(1) = 1. Be sure to specify all dimensionless groups and + aw = B 4. The vertical displacement u(x) of an elastic string of length 1 satisfies the boundary value problem T d²u for 0 < y < 1, where w(0) provide expressions for both a and 3. dx² + μu = p for 0 < x < 1, where u(0) = 0 and u(1) = U. Also, p is a constant and has the dimensions of force per length. (a) Determine the dimensions of the constants 7 and μ. (b) Show how it is possible to nondimensionalize the problem so it takes the form d²w dy² 0 and w(1) = 1. Be sure to specify all dimensionless groups and + aw = B

Answer rating: 100% (QA)

b Data from the given question 742 for d where 400 P is constant Then ... View the full answer