Find the magnitude and direction of the force acting on the particle of 'mass \( m \) during its...

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Find the magnitude and direction of the force acting on the particle of 'mass \( m \) during its motion in the plane \( x y \) according to the law \( x=a \sin \omega t, y=b \cos \omega t \), where \( a, b \) and \( \omega \) are constants.
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