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Maximum speed of a cylinder dropped on a spring

  1. Jul 14, 2016 #1
    1. The problem statement, all variables and given/known data
    Cylinder A (mass = 5kg) is released from rest at a height h =100mm above a spring of stiffness k = 1.8 kN/m. Determine, (i) the maximum compression of the spring, (ii) the spring deflection when the cylinder’s velocity is a maximum, and, (iii) the maximum velocity of the cylinder

    I just need to confirm part iii

    2. Relevant equations
    Ep=mgh
    Ek=(1/2)mv^2
    Es=(1/2)kx^2
    F=kx

    3. The attempt at a solution
    For part (i) I got 0.106
    (ii) 27.2mm
    For (iii) I did Ep=Ek which gave me v=1.4. The correct answer is supposed to be 1.49, I feel my answer is similar is wrong but similar just by chance. I just don't fully understand the question, when will the speed be maximum, before or after deflection? I feel before but I'm unsure.

    Thanks
     
  2. jcsd
  3. Jul 14, 2016 #2

    BvU

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    Hi,
    You don't really specify what you did. Could there be a term missing in your 'doing'?
     
  4. Jul 14, 2016 #3
    Well I meant I basically made gravitational potential energy equal kinetic energy and solved for v
     
  5. Jul 14, 2016 #4

    BvU

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    Es ?
     
  6. Jul 14, 2016 #5

    haruspex

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    What, roughly, is the cylinder's acceleration very shortly after hitting the spring?
     
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