A particle of mass \( m \) moves in a certain plane \( P \) due to a force \( F \) whose magnitu...

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A particle of mass \( m \) moves in a certain plane \( P \) due to a force \( F \) whose magnitude is constant and whose vector rotates in that plane with a constant angular velocity \( \omega \). Assuming the particle to be stationary at the moment \( t=0 \), find:
its velocity as a function of time;
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