Theoretical and experimental results are compared for the rolling motion of cylinders on a ramp. An asymmetric distribution of the mass makes the motion jerky and complex and is an interesting and simple example of Lagrangian mechanics.
REFERENCES
1.
H.
Goldstein
, Classical Mechanics
(Addison-Wesley
, Reading, MA, 1980
), 2nd ed., p. 21
.2.
J. B.
Marion
and S. T.
Thornton
, Classical Dynamics of Particles and Systems
(Harcourt Brace
, New York, 1995
), 4th ed, p. 241
.3.
Reference 2, p.
345
.4.
5.
6.
B. L.
Hannas
and J. E.
Goff
, “Model of the 2003 tour de France
,” Am. J. Phys.
72
, 575
–579
(2004
).7.
J.
Witters
and D.
Duymelinch
, “Rolling and sliding resistive forces on balls moving on a flat surface
,” Am. J. Phys.
54
, 80
–83
(1986
).© 2005 American Association of Physics Teachers.
2005
American Association of Physics Teachers
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