Two boys have a tug-of-war using a rope. In the process the rope rubs against a post

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Two boys have a tug-of-war using a rope. In the process the rope rubs against a post such that it is deflected 3º on each side of the post. If boy A weighs 60 lb and boy B weighs 50 lb, determine if it is possible for one of them to pull the rope toward him. The coefficient of static friction between the rope and the post is μP = 0.3, and the coefficient of static friction between the shoes of the boy at A and the ground is μA = 0.4, whereas for boy B it is μB = 0.5.

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