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The man attempts to pull down the tree using the cable and small pulley arrangem

ID: 1659265 • Letter: T

Question

The man attempts to pull down the tree using the cable and small pulley arrangement shown. The tension in AB is 45 lb and = 40° . (Figure 1) Determine the tension in cable CAD Express your answer to three significant figures and include the appropriate units TValue Units Submit My Answers Give Up Incorrect; One attempt remaining; Try Again; no points deducted Figure 1 4 of 1 Part B Determine the angle which the cable makes at the pulley Express your answer using three significant figures = 40.0 20° Submit My Answers Give Up Correct

Explanation / Answer

Along the vertical direction , force equation is given as

TAB Siny = TAC Sin(theta + 20) + TAD Sin20

45 Sin40 = T Sin(theta + 20) + T Sin20

45 Sin40 = T Sin(40 + 20) + T Sin20

T = 23.94 lb