Two springs supporting a mass verticle

  • Thread starter PsychonautQQ
  • Start date
  • Tags Tags
    Mass Springs
1 reply · 2K views · last reply
PsychonautQQ
Messages
781
Reaction score
10

Homework Statement


Two springs have spring constants k1 and k2, are in a vertical position to support a single object of mass m. Show that the angular frequency of oscillation is ((k1+k2)/m)^(1/2) if the springs are in parallel.



The Attempt at a Solution




The book then goes on to explain
F = ma = -k1*x - k2*x
a + ((k1+k2)*x) / m = 0
where (k1+k2)/m = w^2
my question is why is gravity neglected?
 
They aren't really neglecting gravity. Note that the displacement (the x) is measured from the equilibrium position, so the effect of gravity is already included. (Gravity, being a constant force, merely shifts the zero point.)