Science project A.Maths roller-towel, frictionless toilet roll unwind T seconds.



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Topic: Science > Physics
User: ""
Date: 27 Dec 2006 09:24:53 PM
Object: Science project A.Maths roller-towel, frictionless toilet roll unwind T seconds.
Science project A.Maths roller-towel, frictionless
toilet roll unwind T seconds.
28-12-2006.
bcc; nzmm m.th, prof jfh, nzm, geo rsnz, j butcher,
tom,newsc, mzd ed sue g, rap art., rnz, tvnzwn.
....this problem needs applied maths, etc.
or stop-watch.
simple or difficult? may not be original, somebody
else shd have thought about it!!
Dear Editor,
Suppose toilet roll , looks like--- 9.
Spindle = 60cm above floor.
190 sheets. Inside diameter 35mm, outside diam 105mm.
End h..anging down touches the floor.
Starting at rest.
Suppose spindle +++ (o) O roll is uniform density
as toilet paper.
Cylinder== concentric spiral focus//axis.,
frictionless.
involves ANGULAR MOMENTUM.
Consider gravity, torque, dynamics, kinematics,
newton's laws of motion.
acceleration due to gravity,
e.g. 9.8 metre/second^2. uniform. Ignore earth
rotation coriolis.
Figure like '9' nine.
Force approximately 60 cm of paper, hanging down.
volume/density/diameter.
How much remaining on roll at time t, diameter and
rotation spin?.
Centrifugal force. Not vertical, flies out.
Oouch!!. Will roll explode disintegrate without
friction? what is the
Curve, form?, 'the thinker' rodin auguste musee
sculpture, le penseur d Auguste Rodin? paris fr.
ex. surf-casting 'birds-nest'. curve. hi-velocity.
Assume paper evaporates and disappears when it reaches
the floor. THEN xxx...
HOW MANY SECONDS TO COMPLETELY DROP ON FLOOR?.
PUZZLE. QUESTION. PROBLEM. DISCUSS.
DON MCDONALD, N.Z.
Thank you. 28/12/06.
[interrupt radio new zealand- 1030am. Leaking of a
sheet of paper// larger story. Ian botham england
bowling plans, stolen..]
.....................
Don S. McDonald
.

User: "Mark Berman"

Title: Re: Science project A.Maths roller-towel, frictionless toilet rollunwind T seconds. 28 Dec 2006 02:23:53 AM
wrote:

Science project A.Maths roller-towel, frictionless
toilet roll unwind T seconds.
28-12-2006.

bcc; nzmm m.th, prof jfh, nzm, geo rsnz, j butcher,
tom,newsc, mzd ed sue g, rap art., rnz, tvnzwn.

...this problem needs applied maths, etc.
or stop-watch.
simple or difficult? may not be original, somebody
else shd have thought about it!!

Dear Editor,

Suppose toilet roll , looks like--- 9.
Spindle = 60cm above floor.

190 sheets. Inside diameter 35mm, outside diam 105mm.
End h..anging down touches the floor.
Starting at rest.

Suppose spindle +++ (o) O roll is uniform density
as toilet paper.
Cylinder== concentric spiral focus//axis.,
frictionless.
involves ANGULAR MOMENTUM.

Consider gravity, torque, dynamics, kinematics,
newton's laws of motion.
acceleration due to gravity,
e.g. 9.8 metre/second^2. uniform. Ignore earth
rotation coriolis.

Figure like '9' nine.
Force approximately 60 cm of paper, hanging down.
volume/density/diameter.
How much remaining on roll at time t, diameter and
rotation spin?.
Centrifugal force. Not vertical, flies out.

Oouch!!. Will roll explode disintegrate without
friction? what is the
Curve, form?, 'the thinker' rodin auguste musee
sculpture, le penseur d Auguste Rodin? paris fr.

ex. surf-casting 'birds-nest'. curve. hi-velocity.

Assume paper evaporates and disappears when it reaches
the floor. THEN xxx...
HOW MANY SECONDS TO COMPLETELY DROP ON FLOOR?.
PUZZLE. QUESTION. PROBLEM. DISCUSS.

DON MCDONALD, N.Z.
Thank you. 28/12/06.

[interrupt radio new zealand- 1030am. Leaking of a
sheet of paper// larger story. Ian botham england
bowling plans, stolen..]
....................
Don S. McDonald

Don, That post was a Thing Of Beauty, mate.
Post of the Year.
.
User: ""

Title: Re: Science project A.Maths roller-towel, frictionless toilet roll unwind T seconds. 28 Dec 2006 06:43:08 PM
Mark Berman wrote:
many thx. >
wrote:

Science project A.Maths roller-towel, frictionless
toilet roll unwind T seconds.
28-12-2006.

I gave slightly insufficient information.
need to know the sheets are 11 cm long x 10cm wide.
i did some more work.
2nd order ?? differential equation.
solve
acceleration of end of toilet roll = max -9.8 m/s^2,
when there is no paper left.
otherwise accel.. x.. ~ -9.8 / (1+cx.) = d2x/dt2.
slower when x metres remain on spool.
???????
if motion constrained to circles and straight lines xx.
ignore air pressure, in vaccuo.
eject maximum horizontal displacement
curve profile.
surf casting rod birds-nest.
dynamic inverted catenary.
brachistochrone?? inelastic belt, constant speed.
harpoon. slack bicycle chain.
steady state equilibrium.
heavy skipping rope.
roll 'P'.
pi.(105^2-35^2) /(4*190.).

Suppose toilet roll , looks like--- 9.
Spindle = 60cm above floor.

190 sheets. Inside diameter 35mm, outside diam 105mm.
End hanging down touches the floor.
Starting at rest.

Assume paper evaporates and disappears when it reaches
the floor. THEN xxx...
HOW MANY SECONDS TO COMPLETELY DROP ON FLOOR?.
PUZZLE. QUESTION. PROBLEM. DISCUSS.

DON MCDONALD, N.Z.
Thank you. 28/12/06.

....................

Don S. McDonald

nz.gen sci.math sci.physics
1-1mapqZ+
science Amath ToilRoll Tsec...
i looked up ramsey 1962 dynamics..
.



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