Question
Asked Nov 18, 2019
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The floor-polishing machine rotates at a constant angular velocity. (Figure 1)

If it has a weight of 76 lb , determine the couple forces F the operator must apply to the handles to hold the machine stationary. The coefficient of kinetic friction between the floor and brush is μk = 0.31. Assume the brush exerts a uniform pressure on the floor.
Express your answer to three significant figures and include the appropriate units.
15 ft
2 ft
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15 ft 2 ft

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Expert Answer

Step 1

Given Data:

The machine is rotating at a constant angular velocity.

Weight of the machine W = 76 lb

Coefficient of friction μk = 0.31

Assume the brush exert a uniform pressure on the floor

Diameter of the brush D = 2 ft

Length of the handle L = 1.5 ft

Step 2

The moment developed by the brush to hold machine is

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_(1) 2

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Step 3

But, moment M = coupling force ×perpendicular distance....

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2 x0.31x 76x. Fx1.5 Fx1.5 15.71 15.71 F = = 15 F 10.4731b

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