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I Mass on a string-harmonic oscillator

  1. Oct 13, 2016 #1
    Hello, I encountered a mass on a string problem in which the mass, moved from the equilibrium, gets a harmonic motion. The catch, however, is that the mass of the string is not neglected. On the lecture, the prof. wanted to calculate, for some reason, the complete kinetic energy of the system:

    (1/2)∑mivi2 =(1/2)∫v2dm

    where the vi and mi are parts of the string and their velocities. After that, he said that v(x) has the next form:

    v(x)=A+Bx

    Can anyone elaborate on why the velocity has the dependence written above?
     
  2. jcsd
  3. Oct 13, 2016 #2
    It's specified in the question so why worry about it
     
  4. Oct 13, 2016 #3
    It's impossible to model the behavior of the string without knowing some specifications
    Like
    Young's modulus(and it's variations with velocity, acceleration.... Of the string)
    However,
    Why worry about that as it's altogether a different thing !
     
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