AT&T LTE 8:19 PM instructure-uploads.s3.amazonaws.com Probs. 2-125/126 Probs 2-1

Question

AT&T LTE 8:19 PM instructure-uploads.s3.amazonaws.com Probs. 2-125/126 Probs 2-127, Determine the angle between the edges ofthe sheet-metal bracket 2-1. Determine the angle ases OA of the flag pole and each cable 15m 400 mm 6 m 250mm Prob. 2-127 Proh. 2-1 80 CHAPTER 2 FORCE VECTORS REVIEW PROBLEMS 2-131. Determine the magnitude and coordinate direction angles of F so that the resultant of the three forces acts along the positive y axis and has a magnitade of 600 b direction angles of F so that the resultant of the three zero r,-180lb sr -300

Explanation / Answer

2.127

the slanging edge of the bracket has position vector ( wrt origin ) given by

r1 = 400i + 250j

the other slanting edge abovwe the xy plane has the p[osition coordinate given by]

r2 = 300j + 50k

hence angle between these two edges is given by

theta

theta = arcos(r1.r2/|r1||r2|)

theta = arcos(250*300/sqrt(160000 + 250^2)*sqrt(90000 + 2500))

theta = 58.480566 deg

2.132

form the given figure

F1 = -180 i lb

F2 = F2cos(30)sin(40)i + F2*cos(30)cos(40)j - F2sin(30)

|F2| = 300 lb

hence

F3 = -(F1 + F2) = 12.99888i - 199.02418j + 150k lb

|F3| = sqrt(12.9988^2 + 199.024^2 + 150^2) = 249.5586531 lb

a

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