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23 Nov 2019

In the figure a fastidious worker pushes directly along the handleof a mop with a force F. The handle is at an angle ? = 32.68° withthe vertical, and 0.44 and 0.36 are the coefficients of static andkinetic friction between the head of the mop and the floor. Ignorethe mass of the handle and assume that all the mop's mass m = 0.30kg is in its head. If the mop head moves along the floor with aconstant velocity, then what is F.

Show that if ? is less than a certain value ?0, then F (stilldirected along the handle) is unable to move the mop head. Find ?0.

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