|
What is Oscillation by Friction? top
... ... |
If you put a rod on two wheels, which are driven by two equal motors
with opposite turns, it starts oscillating. |
Explanation:
If you move the rod to the left, you put more weight on the left wheel
than on the right one. Therefore the force of friction on the left is bigger
than on the right. The rod is moved to the right. If the main emphasis
is on the middle, the forces neutralize themselves. The rod is moving beyond
the centre line because of inertia, until the force of friction is bigger
on the right. The rod is moving to the left. - The rod is oscillating.
This arrangement can be set up quickly. You can use any motor, also
those from LEGO. You can use a pencil as a rod.
Simulations
with 'Interactive Physics' top
You can simulate this experiment with the computer program "Interactive
Physics". Use a rectangle and two motors with two circles on them. (I used
the standard settings as much as possible). The following screen is produced.
|
Formula of the Oscillation
top
There are sine oscillations. A calculation confirms this: The linear
law of forces is valid. Hence you have an harmonic motion. The formula
for the period is:
T is the period, 2d the distance of the axes of the motors, f the value
of kinetic friction and g the acceleration due to gravity.
It is remarkable that the period is independant of the mass of the
rod.
In practice you have a light increase of the period with the mass: The
motors turn less, if you have weight. If you always regulate the motor
to the same frequency with the help of stroboscope lightning, the supporting
surface becomes warm. f is changing. - You can prove the dependance T=T(d)
to your satisfaction. Experiments with friction are delicate.
You can measure value of kinetic friction directly, if the motors run
in the same direction and if you hold on the rod by a dynamometer.
|
Bibliography top
Gamow, Cleveland: Physik in unserer Welt 1, München 1963
Karl-Heinz Gronemeier, Otto Kranz, Hans Steidel: Fachmethodische Arbeiten
zur Mechanik, Shaker Verlag, Aachen 1999
Comments top
The experiment is worthy of being more well-known. The experiment is
simple. The mathematics to this experiment are elementary.
This is another example of an harmonic motion, which belongs to the
most famous phenomenons of physics.
Feedback: Email address on my main page
This
page is also available in German.
URL of
my Homepage:
http://www.mathematische-basteleien.de/
©
2000 Jürgen Köller
top |