Mass matters for standing waves on a string?

In summary, the mass of a string plays a significant role in the formation and characteristics of standing waves. It affects the frequency, wavelength, tension, and energy of the waves, which can impact the number of standing waves, their amplitude, and the harmonics present on the string. Changing the mass of the string can alter these factors, resulting in different patterns of standing waves.
  • #1
zooch
1
0
Homework Statement
Does the equation of motion of a standing wave get impacted when a mass is attached to the string?
Relevant Equations
y = A cos(Wt)
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The question is to explain the equation of motion of the red ball. The string is massless and a small ball of mass m is attached to the string halfway. I just assumed the mass of the string is the same as the mass of the ball and explained the equation A cos(Wt) by defining the terms. I'm not sure if the small ball changes anything...
 
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