If the coordinate direction angles for F3 = 7601b are alpha = 115degree, beta =

Question

If the coordinate direction angles for F3 = 7601b are alpha = 115degree, beta = 30degree and gamma = 65degree, determine the magnitude of the resultant force acting on the eyebolt. (Figure 1) Express your answer to three significant figures and include the appropriate units. Determine coordinate direction angle alpha of the resultant force. Express your answer to three significant figures and include the appropriate units. Determine coordinate direction angle beta of the resultant force. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

F1 = 606.2178 i + 350 j

F2 = 480j + 360 k

F3 = -321.19 i + 658.179 j + 321.19 k

Resultant force = F1 + F2 + F3 = 285.0278 i + 1488.179 j + 38.81 k

magnitude = 1515.7255 lbs

b) angle = 79.161 degrees

b) beta = 10.940 degrees

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