A loaded barge is being towed by two tugboats, and the magnitude of the resultan

Question

A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6000 pounds directed along the axis of the barge. Each towline makes an angle of q degrees with the axis of the barge. (See the figure 1 below.) a) Find the tension in the towlines if q = 20o. b) Write the tension T of each line as a function of q. Determine the domain of the function. c) Use technology to complete the table. d) Show a graph of the T(q). e) Write a short paragraph explaining why the tension increases as q increases.

Explanation / Answer

T = (6000 / 2) / cos20

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