1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Proof of stiffness of the horizontal component of a spring

  1. Oct 29, 2013 #1
    1. The problem statement, all variables and given/known data

    Suppose a spring with forces F=k*z. Find the equivalent stiffness of a horizontal spring, where the spring and its horizontal equivalent is seperated by theta degrees. The horizontal equivalent presumably will have a force F(x)=k(x)*x

    2. Relevant equations

    F = F(x)*cos(theta)
    x = z*cos(theta)

    3. The attempt at a solution

    I have try to substitute F=k*z, F = F(x)*cos(theta) and x=z*cos(theta) into the equation F(x)=k(x)*x, but i only end up with a equation k = k(x)*cos^2(theta). The answer should be k(x)=k*cos^2(theta) and it only makes sense if the horizontal equivalent of stiffness is smaller than k. Please help and point out where I have made a mistake. thanks :)
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Proof of stiffness of the horizontal component of a spring
  1. Strain Components (Replies: 0)

Loading...