Theory of Machine
A disturbing mass m₁ attached to the rotating shaft may be balanced by a single mass m₂ attached in the same plane of rotation as that of m₁, such that (where r₁ and r₂ are the radii of rotation of m₁ and m₂ respectively)

m₁ m₂ = r₁ r₂
m₁ r₂ = m₂ r₁
None of these
m₁ r₁ = m₂ r₂

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Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body
The center of gravity of the two masses coincides with that of the body
The sum of the two masses is equal to the total mass of body
All of these

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