robeastaway Maths of everyday things Leonard Euler picture here Odd socks Lampards disallowed goal World Cup 2010 England v Germany its the spin that kept it out Bouncing balls ID: 569797
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Slide1
@
hughhunt @robeastaway
Maths of everyday thingsSlide2
Leonard Euler
(picture here?)Slide3
Odd socksSlide4
Lampard’s disallowed goal
World Cup 2010England v. Germanyit’s the spin that kept it outSlide5
Bouncing balls
particle theory of light ?
no! light doesn’t behave like thisSlide6
Let’s take a closer look …Slide7
Ball under
a table: computer simulationassumptions: conservation of energy and conservation of angular momentum at each of the three collisions Slide8
Ball under a table
high-speed photographyan actual superball under a table40x slow motion Slide9
Benford
/fake newsSlide10
How Wings Work
Air flow
Air deflected
downwards
V
Lift
force
FSlide11
Boomerangs
faster
slower
more lift
less lift
Direction of travel
V
Couple
C
SPIN
w
C
PrecessionSlide12
Physics of boomerangs
4J r
CLpa4
where R = path radius
J = moment of inertia
r
= air density
C
L
= lift coefficient
a = size of boomerang
R =
________
flick-of-the-wrist
w
= boomerang spin
V = boomerang velocity
and a
w
=
2 VSlide13
They make great birthday and christmas presents!
Boomerangs come in many shapes and sizes.Slide14
Back of envelopeSlide15
spinning in space
Conservation of Angular Momentum
J
wSlide16
spinning in space
Conservation of Angular Momentum
J
wSlide17Slide18
shuffles