A 10-lb cylinder of radius r 5 4 in. is resting on a

Chapter 16, Problem 16.110

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A 10-lb cylinder of radius r = 4 in. is resting on a conveyor belt when the belt is suddenly turned on and it experiences an acceleration of magnitude \(a=6\mathrm{\ ft}/\mathrm{s}^2\). The smooth vertical bar holds the cylinder in place when the belt is not moving. Knowing the cylinder rolls without slipping and the friction between the vertical bar and the cylinder is negligible, determine (a) the angular acceleration of the cylinder, (b) the components of the force the conveyor belt applies to the cylinder.

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