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The handle of a floor mop of mass m makes an angle θ with the vertical direction; see Fig. Let be the coefficient of kinetic friction between mop and floor and the coefficient of static friction between mop and floor. Neglect the mass of the handle. (a) Find the magnitude of the force F directed along the handle required to slide the mop with uniform velocity across the floor. (b) Show that if θ is smaller than a certain angle θ 0 the mop cannot be made to slide across the floor no matter how great a force is directed along the handle. What is the angle θ 0 ?
When the mop slides down and moves with constant velocity, the acceleration ax should be equal to zero, that is, ax = 0.
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