The center of gravity G of a 3.5-lb unbalanced tracking wheel is located at a distance r = 0.9 in. from its geometric center B. The radius of the wheel is R = 3 in. and its centroidal radius of gyration is 2.2 in. At the instant shown the center B of the wheel has a velocity of 1.05 ft/s and an acceleration of 3.6 ft/s2, both directed to the left. Knowing that the wheel rolls without sliding and neglecting the mass of the driving yoke AB, determine the horizontal force P applied to the yoke.

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P r-0.9 in. R-3 in.