Question

In the figure a fastidious worker pushes directly along the handle of a mop with a force Upper F Overscript right-arrow EndScripts. The handle is at an angle θ = 44° with the vertical, and μs = 0.68 and μk = 0.32 are the coefficients of static and kinetic friction between the head of the mop and the floor. Ignore the mass of the handle and assume that all the mop's mass m = 0.64 kg is in its head. (a) If the mop head moves along the floor with a constant velocity, then what is F? (b) If θ is less than a certain value θ0, then Upper F Overscript right-arrow EndScripts (still directed along the handle) is unable to move the mop head. Find θ0.

Answer 1