Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω √(r² - x²)
ω √(x² - r²)
ω² √(r² - x²)
ω² √(x² - r²)

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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 and resultant couple are both equal to zero
Resultant force is equal to zero
Resultant couple is equal to zero

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