What do you mean by vibration, Mechanical Engineering

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(a) What do you mean by vibration and the terminology used in it to be defined?

(b) A body is subjected to two Harmonic motions as provided below x₁ = 10 sin (wt + π/6) and x₂ = 8cos(wt + π/3) What Harmonic motions should be given to body to bring it to equilibrium ?

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