This document discusses balancing a single disturbing mass (m1) attached to a rotating shaft with a single balancing mass (m2) in the same plane of rotation. It explains that the centrifugal force of m1 produces a bending moment on the shaft, and that m2 can be attached such that the centrifugal forces of m1 and m2 are equal and opposite to counteract the effect.
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A.a machine-present
3. Balancing of a Single Rotating Mass by a Single Mass Rotating in the Same Plane
• Consideradisturbingmassm1attachedtoashaftrotatingatωrad/sasshownin Fig.
• Letr1betheradiusofrotationofthemassm1(i.e.distancebetweentheaxisof
rotation of the shaft and the center of gravity of the mass m1).
• Weknowthatthecentrifugal forceexertedbythemassm1ontheshaft,
• This centrifugal force acts radially outwards and thus produces bending moment on
the shaft.
• Tocounteracttheeffectofthisforce,abalancingmass(m2)maybe attachedinthesameplaneofrotation
asthatofdisturbingmass(m1)suchthat thecentrifugal forcesduetothetwomasses areequal and
opposite.