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Oscillating mechanical systems. find maximum velocity and acceleration ?

  1. Sep 25, 2011 #1
    Oscillating mechanical systems. find maximum velocity and acceleration !?

    A mass of 0.3 kg is suspended from a spring of stiffness 200 N m–1. If the mass is displaced by 10 mm from its equilibrium position and released, for the resulting vibration

    A) Calculate maximum velocity
    B) Calculate maximum acceleration

    I need help with this please, for starters is the amplitude 0.01m?

    Thanks
     
  2. jcsd
  3. Sep 25, 2011 #2

    lewando

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    Gold Member

    Re: Oscillating mechanical systems. find maximum velocity and acceleration !?

    Yes, amplitude is correct, you must have had some training :smile:. Welcome to PF. There are a ton of googleable resources out there. Check them out, give the problem a try and come back with some specific questions.
     
  4. Sep 26, 2011 #3
    Re: Oscillating mechanical systems. find maximum velocity and acceleration !?

    Ok thanks

    I think i've got it now

    using:-

    v=- ωA sin(ωt - φ)
    a= - ω2A cos(ωt - φ)

    And the maximums occur when sin(ωt - φ)=1 and cos(ωt - φ)=1

    Thanks again!
     
  5. Sep 26, 2011 #4

    rude man

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    Re: Oscillating mechanical systems. find maximum velocity and acceleration !?

    So let's see the answer!
     
  6. Sep 27, 2011 #5
    Re: Oscillating mechanical systems. find maximum velocity and acceleration !?

    omega = square root (k/m) = 25.82

    a) 0.001 x 25.82 x 1 = 0.2582 m/s

    b)0.001 x 25.82^2 x 1 = 6.6667 m/s^2

    Anybody care to have a go at the last question:-

    d) the mass required to produce double the maximum velocity
    calculated in (b) using the same spring and initial deflection

    I get an answer of 0.075kg

    Thanks
     
  7. Mar 12, 2013 #6
    would this not be 0.15kg?

    ω = √k/m = 200/0.15 = 36.51

    b)0.001 x 36.51^2 x 1 = 13.33 m/s^2 = double Vmax

    I know this is a late response to a question but i have the same question and want to check my working.

    (thanks in advance)
     
  8. Mar 27, 2013 #7
    Eddievic,

    I got the same answers as bensm0,

    If you double the answer that you got in a) 0.5164
    use that in your equasions and transpose for mass.

    i think :)
     
  9. Apr 3, 2013 #8
    I believe you are correct my paper came back and mine was incorrect the paper was an overall pass though so I have not investigated it fully.
     
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