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Problem 19 (hard problem)

A traffic light hangs from a pole. The uniform aluminium pole AB is (l)m long and has a (m)kg. The mass of the traffic light is (M)kg. Determine the tension (FT/FAX)newtons in the horizontal massless cable CD, and the vertical and horizontal components of the force exerted by the pivot A on the aluminium pole (FA)newtons.

Link to a Mathjax code of a quadratic equation.

a)

Please enter the following data to calculate the previous equation:

Enter the height (h).

Enter the distance (l).

Enter the angle (α).

Enter the small mass (m).

Enter the big mass (M).




Equation 1 result is


Comment:


b)

Please enter the following data to calculate the previous equation:

Enter the small mass (that you used in the last equation)..

Enter the big mass (that you used in the last equation).




Equation 2 result is


Comment:


Please enter the following data to calculate the previous equation:

Enter the resultant force from equation 1 (FAX).

Enter the resultant force from equation 2 (FAY).




Equation 3 result is


Comment: