Physical Pendulum
Hanging objects may be made to oscillate in a manner similar to a
simple pendulum
. The motion can be described by "
Newton's 2nd law for rotation
":
where the
torque
is
and the relevant
moment of inertia
is that about the point of suspension.
The equation of motion is:
(for small angles where
Show
)
This is identical in form to the equation for the simple pendulum and yields a period:
Calculation
Compare to simple pendulum
Rod pendulum
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Physical Pendulum Calculation
The period is not dependent upon the mass, since in
standard geometries
the
moment of inertia
is proportional to the mass.
For small displacements, the period of the
physical pendulum
is given by
For
kg m^2
kg
m/s^2
cm
the period is
s
Rod pendulum
Circular geometries
Combinations
Index
Periodic motion concepts
HyperPhysics
*****
Mechanics
R Nave
Go Back