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HOW TO BALANCE SEVERAL MASSES IN DIFFERENT PLANES
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When several masses revolve in different planes, they may be transferred to a reference plane , which may be defined as the plane passing through a point on the axis of rotation and perpendicular to it. The effect of transferring a revolving mass (in single plane) to a reference plane is to cause a force of magnitude equal to the centrifugal force of the revolving mass to act in the reference plane, together with a couple of magnitude equal to the product of the force and the distance between the plane of rotation and the reference plane. Two conditions to be satisfied are
The forces in the reference plane must balance, i.e.
the resultant force must be zero.
The couples about the reference plane must balance,
i.e. the resultant couple must be zero
The forces in the reference plane must balance, i.e.
the resultant force must be zero.
The couples about the reference plane must balance,
i.e. the resultant couple must be zero
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