A traffic light hangs from a pole as shown in the figure(Figure 1). The uniform

Question

A traffic light hangs from a pole as shown in the figure(Figure 1). The uniform aluminum pole AB is 7.10 m long and has a mass of 11.0 kg . The mass of the traffic light is 22.0 kg .

Part A

Determine the tension in the horizontal massless cable CD.

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Part B

Determine the vertical and horizontal components of the force exerted by the pivot A on the aluminum pole.

Enter your answers numerically separated by a comma.

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1 of 1

A traffic light hangs from a pole as shown in the figure(Figure 1). The uniform aluminum pole AB is 7.10 m long and has a mass of 11.0 kg . The mass of the traffic light is 22.0 kg .

Part A

Determine the tension in the horizontal massless cable CD.

FT =   N  

SubmitRequest Answer

Part B

Determine the vertical and horizontal components of the force exerted by the pivot A on the aluminum pole.

Enter your answers numerically separated by a comma.

Fvertical, Fhorizontal =   N  

SubmitRequest Answer

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Figure

1 of 1

37° 3.80 m

Explanation / Answer

using force balance

In x-direction

Total force = 0

Fah - T = 0

Fah = T

in y-direction

Fay - Mg - mg = 0

Fay = (22 + 11)*9.81

Fay = 323.73 N

using torque balance about the point A

total torque = 0

Mg*L*cos A + mg*(L/2)*cos A - T*h = 0

T = (22*9.81*7.1*cos 53 deg + 11*9.81*3.55*cos 53 deg)/3.8

T = 303.35 N

Fah = T = 303.35 N

Fay = 323.73 N

Fay, Fah = 323.73, 303.35

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