physics / Classical Mechanics / free

Lagrangian Mechanics

Find motion by following energy through a system.

energy chooses a pathL = T − V
candidate paths differq = 0.8

The generalized coordinate can be an angle, length, or another independent description. This is why Lagrangian mechanics handles constraints cleanly.

kinetic T0.48
potential V0.32
Lagrangian0.16

Move the coordinate and compare the energy terms. The action principle selects a path by making small neighboring path changes cancel to first order.

04 / PRACTICE

Make the idea yours.

0 / 3 checked

Use the model, then answer without looking back. Each check isolates one decision a learner should be able to make after this lesson.

CHECK 1 / 3

What does the Euler–Lagrange equation determine?