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Example: A smooth pin at A supports a uniform rod,
AB, of length, L, and mass, m as shown
in
the figure below. The rod is
released from rest when the angle is slightly less than 90o.
The
mass moment of inertia of the rod about its mass center, IzzC = 1/3 mL2.
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Find
the angular acceleration of the rod as a function of the angle, θ. Find the angular
velocity
of the rod as a function of
θ. Determine the pin
reactions on the rod when the
rod
is horizontal. Apply Euler’s Second
Law in the following form.
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Σ MP =
(rPC x m aP)z
+ IPzz α |
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Euler’s Second Law-
Arbitrary Point P |
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