تسجيل الدخول

تسجيل

String Oscillations

المؤلف:  Sidney B. Cahn Boris E. Nadgorny

المصدر:  A GUIDE TO PHYSICS PROBLEMS

الجزء والصفحة:  part 1 , p 9

2-8-2016

1411

String Oscillations

The frequency of oscillation of a string depends on its length L, the force applied to its ends T, and the linear mass density ρ. Using dimensional analysis, find this dependence.

SOLUTION

We have assumed that the dependence is of the form

To find α, β, γ we use dimensional analysis, i.e., assume that the dimensions are equivalent on both sides of our proportion:

In MKS units, we have

Or

This is true if the following equations hold:

So