2 ms·
This assumes the angle from the vertical is 'small' enough to simplify some trig terms. I'm pretty sure a swing can hit 90 degrees from vertical and have some d
by JonChesterfield 3y ago
This assumes the angle from the vertical is 'small' enough to simplify some trig terms. I'm pretty sure a swing can hit 90 degrees from vertical and have some doubts about that being small in the cancelling out trigonometric terms sense.
- alexmolas 3y agoYes, you're right, I made some approximations. The analysis is focused in the range of small \phi angles. However, it would be interesting to analyze what happens when \phi gets big. To do so you'll need to solve -probably numerically- the Lagrange equation for \phi (it's the second equation in the post), and then plug the solution into the distance equation.