To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is distributed uniformly over the mop and if coefficient of friction between the mop and the floor is μ , the torque, applied by the machine on the mop is:

Question

To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is distributed uniformly over the mop and if coefficient of friction between the mop and the floor is μ , the torque, applied by the machine on the mop is:, 2 μ F R / 3, μ F R / 3, μ F R / 6, μ F R / 2

MARKS App · Accepted Answer

Net torque = ∑ T o r q u e o n r i n g ∫ d τ = ∫ 0 R μ × F π R 2 × 2 π x d x x τ = 2 μ 3 F R

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