- #1
Amitayas Banerjee
- 31
- 2
I am getting correct equations on using the Lagrangian method in Systems with no non conservative forces, but when I use it in Systems with friction, sometimes I get correct equations, and sometimes I do not. Most of the equations have some problem with the coefficients of the frictional forces.
For example, let us take a look at this system...
Here f1,f2 are the frictional forces(and not the coefficients of friction)
Now, let the block with mass $m_2$ move through a distance $x$ to ward the right.
now, when we apply Newton's second law, we see that this is wrong and the coefficient of f1should have been 2
Why is the problem?...on the right hand side I have written the generalized force and the the two Lagrangian terms on the left hand side. Please help me out.
For example, let us take a look at this system...
Here f1,f2 are the frictional forces(and not the coefficients of friction)
Now, let the block with mass $m_2$ move through a distance $x$ to ward the right.
now, when we apply Newton's second law, we see that this is wrong and the coefficient of f1should have been 2
Why is the problem?...on the right hand side I have written the generalized force and the the two Lagrangian terms on the left hand side. Please help me out.