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Particle constrained by 4 springs SHM

  1. Jan 21, 2012 #1

    A point mass is constrained to move in the horizontal plane. It is attached to four fixed pegs by four light springs. The four pegs are arranged at the corners of a square of side a√2. Each spring has natural length a/2 and spring constant k.

    Show that the mass executes SHM with angular frequency ω=√(3k/m)

    Now I keep getting that ω=√(2k/m). I don't understand where the 3k comes from.
  2. jcsd
  3. Jan 21, 2012 #2
    show some work, and i can help
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