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I’m a bit confused about what exactly lagranigian mechanics is.

I know that L = Ke - Pe

I also know the equation d/dt(∂L/∂x’) - ∂L/∂x = 0

1.) Apparentaly solving this equation gives the equations of motion. What exactly does that mean though? I solved a very simple problem and got the acceleration of the system.

2.) How exactly is this a reformulation of classical mechanics? It doesn’t seem like much more than just an equation.

3.) In which circumstances is this useful. The simple problem that I solved using lagrangian mechanics seemed like it could have been solved much faster with F = ma.

I know that L = Ke - Pe

I also know the equation d/dt(∂L/∂x’) - ∂L/∂x = 0

1.) Apparentaly solving this equation gives the equations of motion. What exactly does that mean though? I solved a very simple problem and got the acceleration of the system.

2.) How exactly is this a reformulation of classical mechanics? It doesn’t seem like much more than just an equation.

3.) In which circumstances is this useful. The simple problem that I solved using lagrangian mechanics seemed like it could have been solved much faster with F = ma.

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