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Homework Help: Transverse component of tension in a string

  1. Jan 31, 2010 #1
    1. The problem statement, all variables and given/known data

    A transverse sinusoidal wave is produced at one end of a long horizontal string by a bar that moves with an amplitude of 1.12 cm. The frequency of motion of bar is 120 Hz . The linear density (m) of string is 117 gm/m . The other end is attached to a mass of 4.68 kg that hangs under gravity. Find the maximum magnitude of transverse component of tension . Also find the maximum power transferred along the string . Take g=10m/s^2

    3. The attempt at a solution

    The weight of 46.8 N is being balanced by tension. So tension in the string should be 46.8N. We can get the velocity of wave by the formula v=(T/m)^.5 which comes out to be 20m/s. To find the maximum magnitude of transverse component of tension we need the maximum angle made by the string with the horizontal. We can write the wave equation as y=Asin(2(pi)nt) , n is the frequency (120 Hz) . But how to find the angle ? The power transferred by the string is proportional to A^2. But how to find its variation with time ?
  2. jcsd
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