The 2-lb spool slides along the smooth horizontal spiral rod, r = (2 ) ft, where

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The 2-lb spool slides along the smooth horizontal spiral rod, r = (2 θ) ft, where θ is in radians. If its angular rate of rotation is constant and equals θ̇  = 4 rad/s, determine the horizontal tangential force P needed to cause the motion, and the horizontal normal force component that the spool exerts on the rod at the instant θ = 90°.

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