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I've always found it infinitely preferable to have students include in their
FBD's only those "real" and "inertial" forces that will ultimately be
accounted for on the "left side" of Newton's second law and to use the
kinematic
information to help with the acceleration on the "right side." I really did
think that that was a fairly well ccepted procedure.
Do you really counsel students to show on their free body (or object)
diagrams a "centripetal force" when the object is experiencing an
acceleration perpendicular to its velocity?
On the other hand, perhaps I did misunderstand something. The quote I was
reacting too read:
... Students should be taught to use free object diagrams in bothequilibrium and non-equilibrium conditions. Far from being gratuitous, the
centripetal force (that is shown in the diagram ONLY when the object is
experiencing an acceleration perpendicular to its velocity) is necessary to
justify and explain the non-uniform motion. The student should be taught that
the force MUST be there because of the motion; the task for the student,
then, is to discover the source of this force.
That looks pretty unambiguous to me.