Results 1 to 3 of 3

Math Help - Stumped on a simple harmonic motion question

  1. #1
    Member
    Joined
    Dec 2007
    Posts
    137

    Angry Stumped on a simple harmonic motion question

    mg = k\Delta\l
    And I obtained 5314 N/m.
    After that, I calculated v_{max} by using:
    v_{max} = A\sqrt{\frac{k}{m}}
    Last edited by xxlvh; October 8th 2009 at 09:41 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by xxlvh View Post
    A proud deep-sea fisherman hangs a 65.0 kg fish from an ideal spring having negligible mass. The fish stretches the spring 0.120 m. The fish is now pulled down 5.00 cm and released. What is the maximum velocity it will reach?

    No idea where I am going wrong here. First, I solved for the spring constant:
    mg = k\Delta\l
    And I obtained 5314 N/m.
    After that, I calculated v_{max} by using:
    v_{max} = A\sqrt{\frac{k}{m}}
    With 0.17 m as the Amplitude and I got 1.54 m/s as the answer, which is incorrect. I also tried using conservation of energy formulas, only to get the same answer. Can anyone help me out??
    k = \frac{mg}{\Delta x} = \frac{65 \cdot 9.8}{.12} = 5308.3 N/m

    the fish is pulled down 5.0 cm = 0.05 m down from equilibrium ...

    A = 0.05 m

    amplitude is measured from equilibrium, not the unstretched position of the spring.

    v_{max} = A\omega = 0.05\sqrt{\frac{5308.3}{65}}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2007
    Posts
    137
    Yiikes I need to pay closer attention. Thank you very much!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simple Harmonic motion
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: September 27th 2010, 07:46 AM
  2. Simple Harmonic Motion
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: February 17th 2010, 12:44 PM
  3. Simple Harmonic Motion
    Posted in the Advanced Applied Math Forum
    Replies: 7
    Last Post: June 2nd 2008, 04:27 AM
  4. simple harmonic motion
    Posted in the Advanced Applied Math Forum
    Replies: 10
    Last Post: January 4th 2008, 12:09 PM
  5. Simple Harmonic Motion
    Posted in the Trigonometry Forum
    Replies: 8
    Last Post: October 11th 2007, 10:22 AM

Search Tags


/mathhelpforum @mathhelpforum