Galileoʼs kinematical paradox and the role of resistive forces
@article{Aguiar2014GalileosKP, title={Galileoʼs kinematical paradox and the role of resistive forces}, author={C E Aguiar and V. Soares and A. C. Tort}, journal={European Journal of Physics}, year={2014}, volume={35} }
We discuss Galileoʼs kinematical ‘paradox’ taking into account the effects of sliding friction and of resistive forces proportional to velocity. We show that sliding friction eliminates the paradox but still allows for very simple synchronous curves. Perhaps surprisingly, Galileoʼs paradox is preserved when the resistive force is proportional to velocity.
References
SHOWING 1-10 OF 10 REFERENCES
O paradoxo cinemático de Galileu
- Physics, Education
- 2014
We describe a low-cost demonstration setup and present a short video that can be used by the teacher to discuss an apparent kinematical paradox described by Galileo in a letter to his friend…
Projectile Motion with Resistance and the Lambert W Function
- Education
- 2004
Ed Packel (packel@lakeforest.edu) did his undergraduate work at Amherst College and received a Ph.D. in functional analysis from M.I.T. in 1967. Since 1971 he has taught at Lake Forest College, where…
On the LambertW function
- MathematicsAdv. Comput. Math.
- 1996
A new discussion of the complex branches of W, an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containing W are presented.
Dialogues Concerning Two New Sciences
- Physics
- 1914
Galileo Galilei was a great scientist, and therefore not afraid of causing controversy, even if he had to pay a great price. His public advocacy of the Copernican over the Aristotelian system of the…
Galileo´s Paradox.
- Physics, Education
- 2008
The paradox is a wonderful teaching tool. The sleepy student in the back row is surprised and wakes up, and the student with the instantly memorized answer is forced into the analytical mode. The…
Le Opere di Galileo Galilei vol 10 (Firenze: Barbèra) p 97–100 (For a translation of this letter into English see
- 1900