The V pulleys A and B have diameters of 4 in. and 8 in., respectively, and are connected by a V belt for which α =36°. Pulley A is mounted on the shaft of an electric motor that develops a couple M=5lb⋅ft and the tension in the belt is controlled by a mechanism that applies a horizontal force P to the axle of pulley B. Knowing that the coefficient of static friction is 0.35, determine the magnitude of P when the maximum couple is transmitted to pulley B.

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16 in,