The slotted arm revolves in the horizontal planeabout the fi xed vertical axis through

Chapter 3, Problem 3/83

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QUESTION:

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 \(2 \mathrm{in.} / \mathrm{sec}\) by pulling the cord S. At the instant for which \(r=9 \mathrm{in.}\), the arm has a counterclockwise angular velocity \(\omega=6 \mathrm{rad} / \mathrm{sec}\) and is slowing down at the rate of \(2 \mathrm{rad} / \mathrm{sec}^2\). 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.

                                                         

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QUESTION:

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 \(2 \mathrm{in.} / \mathrm{sec}\) by pulling the cord S. At the instant for which \(r=9 \mathrm{in.}\), the arm has a counterclockwise angular velocity \(\omega=6 \mathrm{rad} / \mathrm{sec}\) and is slowing down at the rate of \(2 \mathrm{rad} / \mathrm{sec}^2\). 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.

                                                         

ANSWER:

Step 1 of 3

 Free body diagram is shown as below:

                                     

                                                           

 

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