MATH
MTH254-RecAct-Week1.pdf

# Step by step procedure will enable you to construct

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step-by-step procedure will enable you to construct arrows drawn to scale that represent the vectors ~ T A and ~ T B (a) Draw an arrow based at the ring C that represents the vector - ~ T W . Be sure that the length of your arrow reflects the magni- tude of this vector. (b) Label the figure with the degree measures of the angles α and β in the appropriate places. (c) Your equation in Problem 2 should instruct you how to draw arrows based at C that represent the vectors ~ T A and ~ T B . Do this now and include these two arrows as adjacent sides in a parallelogram that illustrates your vector equation. By inspecting your completed Figure 3, you should be able to estimate which of the three force vectors, ~ T W , ~ T A , or ~ T B , has the greatest magnitude. Problem 4 On a separate sheet, rank these three vectors from greatest to smallest magnitude. Explain in complete sentences how looking at Figure 3 enabled you to arrive at this ordering. Problem 5 Now we will calculate the magnitudes explicitly. The parallelogram in your completed Figure 3 should have two triangles in it. Apply the Law of Sines to one of these triangles to calculate the magnitude of the vectors ~ T A and ~ T B . In what units are these magnitudes measured?
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