Theory of Machine
According to Kennedy's theorem, if three bodies move relatively to each other, their instantaneous centers will lie on a

Parabolic curve
Straight line
Rectangle
Triangle

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Theory of Machine
A system of masses rotating in different parallel planes is in dynamic balance if the

Resultant force is numerically equal to the resultant couple, but neither of them need necessarily be zero
Resultant force is equal to zero
Resultant force and resultant couple are both equal to zero
Resultant couple is equal to zero

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

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