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SHM in Earth and in Moon

  1. Nov 11, 2008 #1
    Suppose that, on Earth, a mass is suspended on a vertical string and is executing an harmonic motion with
    Period: T
    Amplitude: A
    Angular frequency: [tex]\omega[/tex]

    Now all the system is put in the Moon. What changes that system will have?

    Thanks for you help
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 11, 2008 #2
    Recall that the period of simple harmonic motion is c64bc6d20c9b05eb08dddb30f639d70a.png , and so depends on gravity (g). Since gmoon is smaller than gearth, the period will be greater.
     
  4. Nov 12, 2008 #3
    And what goes to happen with the amplitude of motion? Equal on Earth and Moon?
     
  5. Nov 12, 2008 #4
    Yes, the amplitude in this case is arbitrary, it just equals A. In other words if you start a pendulum swinging on earth by pulling it to A, then go to the moon and start it again by pulling it to A, the difference is in the period (which gets longer by the relationship above).

    If you do the same experiment but want to keep the period constant, then you'll need to swing a shorter amplitude on the moon.
     
  6. Nov 12, 2008 #5
    But, in this site, has a simulation, and things don't work as you said!
    http://www.walter-fendt.de/ph14e/springpendulum.htm" [Broken]
     
    Last edited by a moderator: May 3, 2017
  7. Nov 12, 2008 #6

    LowlyPion

    User Avatar
    Homework Helper

    I think that you mean this simulation:
    http://www.walter-fendt.de/ph14e/pendulum.htm

    The spring pendulum carries the spring constant wherever it goes.
     
    Last edited by a moderator: May 3, 2017
  8. Nov 12, 2008 #7
    My initial question,
    -----------------------------------
    Suppose that, on Earth, a mass is suspended on a vertical string and is executing an harmonic motion with
    Period: T
    Amplitude: A
    Angular frequency: [tex]\omega[/tex]
    Now all the system is put in the Moon. What changes that system will have?
    --------------------------------------
    are about this simulation:
    http://www.walter-fendt.de/ph14e/springpendulum.htm" [Broken]

    It seems no change will occur.

    Sorry, for this post and thanks for your collaboration.
     
    Last edited by a moderator: May 3, 2017
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