https://softmath.seas.harvard.edu/wp-content/uploads/2019/08/tumbling-cards-tn.png 1176 1176 Academic Web Pages /wp-content/uploads/2018/09/clear.png Academic Web Pages1998-12-19 19:00:022020-08-13 02:06:16Tumbling Cards
When a stiff rectangular card is dropped in still air with its long axis horizontal, it often settles into a regular mode of motion; while revolving around its long axis it descends along a path that is inclined to the vertical at a nearly constant angle. We show experimentally that the tumbling frequency ΩΩ of a card of length l,l, width w and thickness d (l≫w≫d)(l≫w≫d) scales as Ω∼d1/2w−1,Ω∼d1/2w−1, consistent with a simple dimensional argument that balances the drag against gravity.
Tumbling cards Mahadevan, L., W. Ryu, and A.D.T. Samuel, Physics of Fluids , 11, 1-3, 1999. [View PDF] [Download PDF]
Tumbling of a falling card Mahadevan, L. Comptes Rendus de l’Academie des Sciences, Paris, Series II , 323, 729-736, 1996.
Flip-flop-induced relaxation of bending energy: implications for membrane remodeling R. Bruckner, S. Mansy, A. Ricardo, L. Mahadevan, and J. Szostak, Biophysical Journal , 97, 3113, 2009 [View PDF] [Download PDF]