Part A Calculate the magnitude of the force F ? exerted on the head of the brush

Question

Part A

Calculate the magnitude of the force F? exerted on the head of the brush by the handle of the brush; the direction of the force F? is as shown in the figure

Part B

Calculate the magnitude of the normal force exerted on the brush by the window.

A window washer pushes his scrub brush up a vertical window at constant speed as shown in the figure (Figure 1) . The head of the brush (when wet) weighs 10.8NA window washer pushes his scrub brush up a vertical window at constant speed as shown in the figure (Figure 1) . The head of the brush (when wet) weighs 10.8N Part A Calculate the magnitude of the force F? exerted on the head of the brush by the handle of the brush; the direction of the force F? is as shown in the figure Part B Calculate the magnitude of the normal force exerted on the brush by the window. N and the coefficient of kinetic friction between the bristles and the window surface is 0.200. and the coefficient of kinetic friction between the bristles and the window surface is 0.200.

Explanation / Answer

F* cos(53.1) = N

F* sin(53.1) = 0.2*N + 10.8

therefore, 0.6F = N

and 0.8F = 0.2N + 10.8

Substituting equation 1 in 2,

we get 0.8F = 0.2*0.6F + 10.8

F = 15.88 N

N = 9.53 N

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