The spool, which has a mass of 4 kg, slides along the rotating rod. At the instant

Chapter 13, Problem R13-8

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The spool, which has a mass of 4 kg, slides along the rotating rod. At the instant shown, the angular rate of rotation of the rod is \(\dot{\theta} = 6 \ rad/s\) and this rotation is increasing at \(\ddot{\theta} = 2 \ rad/s^{2}\). At this same instant, the spool has a velocity of 3 m/s and an acceleration of \(1 \ m/s^{2}\), both measured relative to the rod and directed away from the center O when r = 0.5 m. Determine the radial frictional force and the normal force, both exerted by the rod on the spool at this instant.