Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

G.I₂
I₂/G²
G².I₂
I₂/G

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Unbalanced forces are not dangerous at higher speeds
Effects of unbalances are directly proportional to the speed
Unbalanced couples are caused only at higher speeds
Effects of unbalances are proportional to the square of the speed

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