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Acceleration of a mass-spring oscillation

  1. Apr 19, 2009 #1
    1. The problem statement, all variables and given/known data

    A mass-spring system oscillates with an amplitude of 3.30 cm. If the spring constant is 231 N/m and the mass is 537 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration.


    2. Relevant equations

    .5*m*v^2=.5*k*delta*x^2

    3. The attempt at a solution
    THe mechanical energy= .126 J, and the maximum speed= .684 m/s
    I don't know how to get the maximum acceleration... Could someone please point me towards the right equation to achieving this answer? Thanks!
     
  2. jcsd
  3. Apr 19, 2009 #2

    rl.bhat

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    Maximum acceleration = -Aω^2.
    Mass and k are given. Find ω.
     
  4. Apr 19, 2009 #3
    I don't understand.. what am I setting -Aw^2 equal too? Also is A= amplitude?
     
  5. Apr 19, 2009 #4

    rl.bhat

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    Yes. A is the amplitude. Do you know the relation between k, m and ω?
    And -Aω^2 = maximum acceleration which you want to find out.
     
  6. Apr 19, 2009 #5
    No I'm not sure what the relationship is between them.
     
  7. Apr 19, 2009 #6

    rl.bhat

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    OK. ω = sqrt(k/m)
     
  8. Apr 19, 2009 #7
    ok. Thank you, I have the answer now. You were a big help!
     
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