1. Not finding help here? Sign up for a free 30min 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!

Pendulum oscillations problem

  1. Mar 3, 2006 #1
    Please help me with this problem.
    1) Two simple pendulums of length 1metre and 16 metre respectively are both given small displacements in the same direction at the same instant. They will again be in phase after the shorter pendulum has completed n oscillations. What is the value of n?

    I solved a similar kind of problem in the following way:
    2) Two pendula of lengths 121cm and 100cm start vibrating. At some instant they are in mean position in the same phase. After how many vibrations of the shorter pendulum, the two will be in the same phase in the mean position?
    Let L(1) = 1.21 m
    T(1) = 2(pie) (L(1)/g)^1/2 [2 pie root L one by g)
    T(1) = 2.2 seconds

    L(2) = 1.00 m
    T(2) = 2(pie) (L(2)/g)^1/2 [Read as 2 pie root L two by g)
    T(2) = 2 seconds
    Since when they are in phase again the total time elapsed is the same,
    T(1) * X(1) = T(2) * X(2)
    X(2)/X(1) = T(1)/T(2)
    = 2.2/2
    = 1.1
    = 11/10
    So they will again be in phase when the shorter pendulum has completed 11 oscillations.
    But this method doesn’t work with the first problem. Using the above method in the first problem, I get the answer as 4. But the answer given in my book is 4/3.
  2. jcsd
  3. Mar 3, 2006 #2
    I suspect that you DO have the correct answer. n should be an integer. I think the book was giving the number of periods for both pendula...one goes 4 full cycles and the other goes 3.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Pendulum oscillations problem
  1. Pendulum problem (Replies: 0)

  2. Pendulum Oscillation (Replies: 0)