Determine the forced response-uniform road of cross section

Reference no: EM13553381

A uniform road of cross section area A and length L has material properties E (Young's modulus) and p (mass per unit length). The rod is anchored at one end but has a forcing function Fosin wt at the other end. The governing partial differential equation is: d2u/dt2 = a2d2u/dx2

where u(x,t) is the longitudinal displacement and a2 = E/p
The boundary conditions are u(0,t) = 0 and du/dx(L,t) = 1/EA Fosin wt.
Determine the forced response u(x,t) by assuming u(x,t) = X(x) sin wt. Solve for X.

Reference no: EM13553381

Questions Cloud

The six-carbon-chain portion from syndiotactic polypropylene : Draw a six-carbon-chain portion from syndiotactic polypropylene, in which the CH3 groups lie on alternating sides of the plane of the computer screen

Discuss the ethical aspects of symingtons action : How should Symington have recorded this transaction and discuss the ethical aspects of Symington's action.

What is the particles angular momentum about the origin : A 3kg particle has position as a function of time given by (-3,+1 m/s*t)x +(4m+ m/s t)y -(3 m/s* t)z What is the particle's angular momentum about the origin at t=5s

Estimate the distance the spring was compressed : 1308.0 g mass is on a horizontal surface with ?k = 0.40, and is in contact with a massless spring with a force constant of 553.0 N/m, Calculate the distance the spring was compressed

Determine the forced response-uniform road of cross section : A uniform road of cross section area A and length L has material properties E (Young's modulus) and p (mass per unit length). The rod is anchored at one end but has a forcing function Fosin wt at the other end. The governing partial differential e..

Record the transactions in journal entries : Record the transactions in journal entries - Lamed Corporation recorded the transactions for the just completed month.

Explain how much mass ki must be in water : A liter and a half of water is boiling at 105.3C. Assuming standard pressure, how much mass KI must be in water

Calculate the voltage drop across each lamp : Three lamps with resistances 1 ?, 2 ? and 3 ? are connected in series in a circuit with a voltage source of 12V. Calculate the voltage drop across each lamp

Electricity costs for the plant assembling : Electricity costs for the plant assembling the Presario computer line of products and transportation costs for shipping the Presario line of products to a retail chain

User Account

All Pages