If it an object is rotating at a pretty good speed and the moment of interial
is the axis where the object is spun, then the resulting forces F_a and F_b
will be equal such that F_a - F_b is zero. Please explain further why they
are not equal. The masses are the same? and the rotational speed the
same? and distance r?
*Now we try to relate the two centrifugal forces which affect our
masses in our example:
( F_net is net total force )
F_net = F_a - F_b
F_net = F_a - F_b = m_a r_a w^2 - m_b r_b w^2
-simplifying it :
F_net = F_a - F_b = ( m_a r_a - m_b r_b ) w^2
*We have the equation of the centrifugal forces which in our case
should not be equal and result in a net force F_net. Now let's see how
does the net force affect our system ( I assume that our system has a
mass of m=m_a+m_b, in another words, no other mass exists, but in
reality we need to add the support rods, the motor, etc...but these come
in when we actually get to make it):
Attachment Converted: "H:\INTERNET\eudora\Attach\RE Inertial drive maths"