Popsicle chain reaction. Problem №17 презентация

Октябрь 3, 2021

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Popsicle chain reaction. Problem №17

Содержание

2. Observation of the phenomenon Is taken away
3. Qualitative explanation Motion of one stick leads to non-compensated torque acting other sticks and motion of
4. Rising mechanism Из симметрии:
5. Qualitative explanation Cobra wave moves because of jet force and decelerates because of elastic force
6. Speed of the wave front v - Shooting out stick forward movement - Shooting out stick
7. One stick in the chain
8. Time of stick going out of the chain time Stick don’t touch other ones
9. Time τ time Began movement Don’t touch other sticks
10. Angular acceleration ε Shape of deformation
11. Equation for wave front speed V doesn’t depend on width a of the stick V is
12. Young’s modulus measurement A. Papastathopoulos-Katsaros and S. Sardelis. A physical model for the popsicle stick cobra.
13. V vs a
14. V vs l
15. Velocity vs material E – Young’s modulus of the stick ρ – density of the stick
16. V vs ϕ
17. V vs Quantity of sticks and surface
18. Approximation coefficient
19. Height of the wave front H Force model: balance between jet, gravity and elastic forces
20. 2-nd Newton law y
21. Elastic force A. Papastathopoulos-Katsaros and S. Sardelis. A physical model for the popsicle stick cobra. Emergent
22. Jet force v v
23. Gravity force L β N
24. Height formula H β α From experiments data:
25. H doesn’t depend on width a of the stick H is inversely to length l of
26. Height vs a
27. Height vs l
28. Height vs material E – Young’s modulus of the stick ρ – density of the stick
29. V vs Quantity of sticks and surface
30. Turned chain - Stable position of the chain
31. Novelty 2 cases of formation Increase angle ϕ Increase thickness of the sticks dried glue
33. Conclusion
34. Bibliography The physics of a popsicle stick bomb Jer emy Sautel, Andreane Bourges, Aude Caussarieu, Nicolas
35. Boundary conditions J.-P. Boucher, C. Clanet, D. Quéré, and F. Chevy. Popsicle-stick cobra wave. 2017 breaking
36. Parametric investigation for Velocity
37. Parametric investigation for Height
38. Different shapes
39. Скорость палочки
40. Расчет скоростей A. Papastathopoulos-Katsaros and S. Sardelis. A physical model for the popsicle stick cobra. Emergent
41. Energy transformation
42. Sticks raises, chain forms Sticks fly off, chain doesn’t form Modes of movement
43. Legend a – width b – thickness l – length
45. Kinematic Energy VS Δ
46. One stick motion Видео взято с сайта physics.aps.org
48. Скачать презентацию

Слайд 2

Observation of the phenomenon
Is taken away

Слайд 3

Qualitative explanation

Motion of one stick leads to non-compensated torque acting other

sticks and motion of whole system

Слайд 4

Rising mechanism
Из симметрии:

Слайд 5

Qualitative explanation
Cobra wave moves because of jet force and decelerates because

of elastic force

Слайд 6

Speed of the wave front
v
- Shooting out stick forward movement
- Shooting

out stick rotational movement
- Young’s modulus measurements

Слайд 7

One stick in the chain

Слайд 8

Time of stick going out of the chain
time
Stick don’t touch other

ones

Слайд 9

Time τ
time

Began movement
Don’t touch other sticks

Слайд 10

Angular acceleration ε
Shape of deformation

Слайд 11

Equation for wave front speed
V doesn’t depend on width a of

the stick
V is proportional to thickness b of the stick
V is inversely to length l of the stick

Слайд 12

Young’s modulus measurement
A. Papastathopoulos-Katsaros and S. Sardelis. A physical model for

the popsicle stick cobra. Emergent Scientist 1, 3 (2017)

displacement, 0,001 mm

Weight P, kN

Experimental data

Слайд 13

V vs a

Слайд 14

V vs l

Слайд 15

Velocity vs material
E – Young’s modulus of the stick
ρ – density

of the stick

Слайд 16

V vs ϕ

Слайд 17

V vs Quantity of sticks and surface

Слайд 18

Approximation coefficient

Слайд 19

Height of the wave front
H
Force model: balance between
jet, gravity and elastic

forces

Слайд 20

2-nd Newton law
y

Слайд 21

Elastic force
A. Papastathopoulos-Katsaros and S. Sardelis. A physical model for the

popsicle stick cobra. Emergent Scientist 1, 3 (2017)

Слайд 22

Jet force
v
v

Слайд 23

Gravity force
L
β
N

Слайд 24

Height formula
H
β
α
From experiments data:

Слайд 25

H doesn’t depend on width a of the stick
H is inversely to

length l of the stick

Слайд 26

Height vs a

Слайд 27

Height vs l

Слайд 28

Height vs material
E – Young’s modulus of the stick
ρ – density

of the stick

Слайд 29

V vs Quantity of sticks and surface

Слайд 30

Turned chain
- Stable position of the chain

Слайд 31

Novelty
2 cases of formation
Increase angle ϕ
Increase thickness of the

sticks

dried glue

Слайд 32

Слайд 33

Conclusion

Слайд 34

Bibliography
The physics of a popsicle stick bomb Jer emy Sautel,

Andreane Bourges, Aude Caussarieu, Nicolas Plihon, and Nicolas Taberleta (2017)
Popsicle-Stick Cobra Wave Jean-Philippe Boucher,1 Christophe Clanet,1 David Quéré,2 and Frédéric Chevy3 1 LadHyX, UMR 7646 du CNRS, École Polytechnique (2017)
A physical model for the popsicle stick cobra Athanasios Papastathopoulos-Katsaros and Savvas Sardelis (2017)

Слайд 35

Boundary conditions
J.-P. Boucher, C. Clanet, D. Quéré, and F. Chevy. Popsicle-stick

cobra wave. 2017

breaking limit

limit set by gravity

Young’s modulus of the sticks

Bending stress at rupture of the material

Density of the sticks

thickness of the sticks
length of the sticks

Слайд 36

Parametric investigation for Velocity

Слайд 37

Parametric investigation for Height

Слайд 38

Different shapes

Слайд 39

Скорость палочки

Слайд 40

Расчет скоростей
A. Papastathopoulos-Katsaros and S. Sardelis. A physical model for the

popsicle stick cobra. Emergent Scientist 1, 3 (2017)

Слайд 41

Energy transformation

Слайд 42

Sticks raises, chain forms
Sticks fly off, chain doesn’t form
Modes of movement

Слайд 43

Legend
a – width
b – thickness
l – length

Слайд 44

Слайд 45

Kinematic Energy VS Δ

Слайд 46

One stick motion
Видео взято с сайта physics.aps.org