# Difference between revisions of "Profile of a large drop"

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− | In class we derived the profile z(x) of a large drop as being: | + | In class we derived the profile <math>z(x)</math> of a large drop as being: |

− | <math>\sigma_{lv}(\frac{1}{\sqrt{1+\dot{z}^2}}-\cos\theta_e)=\frac{1}{2}\rho g(2ez-z^2)</math> | + | |

+ | <center><math>\sigma_{lv}(\frac{1}{\sqrt{1+\dot{z}^2}}-\cos\theta_e)=\frac{1}{2}\rho g(2ez-z^2)</math></center>, | ||

+ | |||

+ | where we had defined <math>e</math> as being the maximum height of the drop: | ||

+ | |||

+ | <center><math>e=2\kappa^{-1}\sin{\frac{\theta_e}{2}}</math></center> |

## Revision as of 17:48, 18 February 2009

In class we derived the profile <math>z(x)</math> of a large drop as being:

where we had defined <math>e</math> as being the maximum height of the drop: