Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_69

3/69 The slotted arm revolves in the horizontal plane about the fixed vertical axis through point O. The 3-lb slider C is drawn toward O at the constant rate of 2 in./sec by pulling the cord S. At the instant for which r = 9 in., the arm has a counterclockwise angular velocity \(\omega = 6 \text{ rad/sec}\) and is slowing down at the rate of \(2 \text{ rad/sec}^2\). For this instant, determine the tension T in the cord and the magnitude N of the force exerted on the slider by the sides of the smooth radial slot. Indicate which side, A or B, of the slot contacts the slider.