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mcconnellmelany

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- 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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