A circular cylinder inserted across a stream of flowing water deflects the stream through angle \(\theta\), as shown. (This is termed the "Coanda effect.") For \(a=12.5 \mathrm{~mm}, b=2.5 \mathrm{~mm}, V=3 \mathrm{~m} / \mathrm{s}\), and \(\theta=20^{\circ}\), determine the horizontal component of the force on the cylinder caused by the flowing water.

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V P4.54