Problem

The bar AB is pinned to a fixed support at A at one end and to the center of the bike whee...

The bar AB is pinned to a fixed support at A at one end and to the center of the bike wheel B at its other end. The bike wheel is spinning with angular speed ω0 = 50 rad/ s when it is gently placed on the horizontal surface. The mass of the bike wheel is mw = 2.5 kg, its radius is R = 33 cm, and its mass moment of inertia is IB = 0.2486 kg · m2.

If the mass of bar A B is mAB = 1.5 kg, determine the coefficient of kinetic friction between the wheel and the surface so that it takes 2 s to come to a complete stop. In addition, find the reactions at A and B on bar AB for these conditions.

Figure P7.40

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