 #1
mcconnellmelany
 21
 4
 Homework Statement:

For a nonconservative force,
What would be the dissipative function for a force f=bvⁿ in Lagrangian
(Where v is the velocity)
[#qoute for a nonconservative force f=bv
The dissipative function is D=(1/2)bv² ]
 Relevant Equations:
 ##\frac{d}{dt}(\frac{\partial L}{\partial \dot x})=\frac{\partial L}{\partial x}  \frac{\partial F}{\partial \dot x}##
For a nonconservative force,
What would be the dissipative function for a force f=bvⁿ in Lagrangian
(Where v is the velocity)
[#qoute for a nonconservative force f=bv
The dissipative function is D=(1/2)bv² ]
Since ##f=\frac{\partial D}{\partial \dot x}## so the dissipative function should be ##D=\frac{1}{n+1}bv^{1+n}##, isn't it?
What would be the dissipative function for a force f=bvⁿ in Lagrangian
(Where v is the velocity)
[#qoute for a nonconservative force f=bv
The dissipative function is D=(1/2)bv² ]
Since ##f=\frac{\partial D}{\partial \dot x}## so the dissipative function should be ##D=\frac{1}{n+1}bv^{1+n}##, isn't it?
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