An approximate and an analytical solution to the carousel-pendulum problem
Eur. J. Phys.
We show that an improved solution to the carousel-pendulum problem can be easily obtained through a ﬁrst order Taylor expansion, and its accuracy is determined after the obtention of an unusable analytical exact solution, advantageously replaced by a numerical one. It is shown that the accuracy is unexpectedly high, even when the ratio length of the pendulum to carousel radius approaches the unity.