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Maximum speed

  1. Jul 7, 2015 #1
    Prove that the maximum speed (Vmax) of a mass on a spring is given by 2πfA.

    I have no idea how to solve this problem. I have not taken calculus yet, and I am really confused on how to come up with a solution for this. Any help would be appreciated. Thanks
     
  2. jcsd
  3. Jul 7, 2015 #2
    With conservation of energy, you can solve it without Calculus. Compute max potential energy. Set equal to max kinetic energy. Solve for v.
     
  4. Jul 7, 2015 #3

    haruspex

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    As Dr. Courtney says, but first you need to quote the general equation for the motion.
     
  5. Jul 7, 2015 #4
    Ok I'm still lost. Should I be using, E=½mv^2 + ½kx^2 for the general equation for the motion?
     
  6. Jul 7, 2015 #5

    haruspex

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    No, that's just conservation of energy in a spring. What's the equation of simple harmonic motion? Or, you can use the above equation if you know the relationship between f, k and m for a spring.
     
  7. Jul 7, 2015 #6
    Hooke's Law: F=-kx
     
  8. Jul 7, 2015 #7

    SammyS

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    The general equation of motion should have a sine or cosine in it.
     
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