5. Motion in >1 Coordinate System

Question 1

Describe briefly how you solve the problem to find the actual path taken in a 2d problem

Answer 1

• Same as 1d problem in notes with an actual and a varying path a (t)
• Now expressions have sub in (x + y) for each x expression

Question 2

What is the key result of the 2d path problem?

Answer 2

You get the E-L equation in terms of a general coordinate q

Question 3

If there are two particles moving, how do you use the Lagrangian/E-L on them?

Answer 3

You use 1 E-L per particle

Question 4

See page 4 of document for the bookwork of 2d motion in polar coordinates

Answer 4

Do it

Question 5

See page 5 of document for the bookwork of the 3d pendulum

Answer 5

Do it