1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Wavelength of traveling wave on string (one end clamped and one end free)

  1. Jul 26, 2015 #1
    1. The problem statement, all variables and given/known data
    A 30-cm long string, with one end clamped and the other free to move transversely, is vibrating in its second harmonic. The wavelength of the constituent traveling waves is
    • A -- 10 cm

    • B -- 40 cm

    • C -- 120 cm

    • D -- 30 cm

    • E -- 60 cm

    2. Relevant equations
    for second harmonic n=2
    (2L)/n= wavelength

    3. The attempt at a solution
    (2*30)/(2) = 30 cm
    Put the answer is 40 cm, and I don't understand why
    Last edited by a moderator: Jul 27, 2015
  2. jcsd
  3. Jul 26, 2015 #2


    User Avatar
    Homework Helper

    The formula you used is wrong. Where are the nodes and antinodes of that vibrating spring?
  4. Jul 27, 2015 #3


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

    To expand on ehild's answer, you have used the expression for a string where both ends are fixed (or both free). You need to correct forthe fact that your string is fixed in one end and free in the other. This goes for both your threads.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted