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Motion of a Pendulum in the Wind

elapsed time
t
(sec)
wind speed
v
(m/sec)
20
bob radius
r
(m)
0.035
bob material
styrofoam
cork
papier-mâché
plastic
magnesium
aluminum
steel
This Demonstration models the behavior of a simple pendulum subject to an additional force from air flow.
The pendulum has a spherical bob attached to a rigid rod and is suspended from a frictionless pivot. The direction of the air flow is assumed to be parallel to the plane in which the pendulum is swinging. The air flow causes a "drag force" on the pendulum bob. This force will alternatively be in the same or in the opposite direction of the moving pendulum and this way will either accelerate or decelerate the bob.
The pendulum starts from a horizontal position opposite the origin of the flow. The angular displacement of the pendulum is shifted away from the vertical depending on the air flow speed and the diameter and density of the bob. The pendulum eventually finds an equilibrium at an angle away from the vertical.
An animation of the pendulum is shown together with its phase-space diagram.
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