Analytical Mech Homework Solutions 190

Analytical Mech Homework Solutions 190 - 27 11.27 F = k l...

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27 11.27 F k = l is the tension in the cord 1 l d n + ∆ = + l is its stretched length From the equation following Equation 11.5.7… F K d = From Equation 11.6.4c … ( ) 2 k v l l m = + ∆ l ( ) 1 1 2 2 trans k v l l m = + ∆ l ∆  for transverse waves For longitudinal vibrations, we use Y, the tension in the cord per unit stretched length ( ) ( ) k l Y k l l l = = + ∆ l l + ∆ Y K d = (Equation 11.6.8) ( ) 2 2 k l l nd kd v m n m + ∆ = = (Equation 11.6.9a) ( ) 1 nd n d l l + = + ∆ ( ) 1 2 long k v l m
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