Ask Me Help Desk

Ask Me Help Desk (https://www.askmehelpdesk.com/forum.php)
-   Mathematics (https://www.askmehelpdesk.com/forumdisplay.php?f=199)
-   -   Differential Equations, Linear models (https://www.askmehelpdesk.com/showthread.php?t=652823)

  • Apr 20, 2012, 05:50 PM
    ilovemath
    Differential Equations, Linear models
    A force of 64 N stretches a spring 4 meters. The mass of 4 kg is attached to the spring and set into motion in a medium that offer a damped force equal 16 times the velocity .If the mass is pulled down 2 centimeters from the equilibrium position and released. Find the equation for the position. Find the time(s) at which the mass passes the equilibrium position.
  • Apr 20, 2012, 06:13 PM
    ebaines
    The basic differenjtial equation for a mass, spring and damper is



    You know that k = 64N/4m = 16t N/m and C = 16N/(m/s). Set and solve for A and b. You should end up with a solution for b using the quadratic equation along the lines of


    Recall that if b is a complex number then the angular velocity is the imaginary part of the value for b and the damping constant is the real part. The value for A comes from the initial condition that x(0) = 0.02m. If you need more help post back with your work and we can help you along.

  • All times are GMT -7. The time now is 09:04 AM.