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C" I D www webassign.net/web/Student/Assignment.Responses/ast,deps17074231 m Professional Unsorted Bookmarks a MightyTet w arrer Studens-u Toa hof Modern B 4KMoses, 4K Blurn . w come Gr mmer-Cazy Hobbit Times NAS Computers Edit m Nelisin o aern points SerPSETS 3.P010 A force of magnitude 4.90 units acts at the origin in a direction 34.0° above the positive x axis. A second force F2 of magnitude 5.00 units acts at the origin in the direction ofthe positive y axis. Find graphically the magnitude and direction of the resultant force FF, magnitude direction units o counterclockwise from the +x axis points SerPSET9 3.P.023.I Consider the two vectors A si-j and Bi 6j (a) Calculate A+B (b) Calculate A - B 9:41

Explanation / Answer

Let horizontal axis be x and vertical be y
write F1 in vector form:
F1 = 4.90 cos 34.0 i + 4.90 sin 34.0 j
F1 = 4.06 i + 2.74 j

write F2 in vector form:
F2 = 5.00 j

add both vectors:
F1 + F2 = 4.06 i + 2.74 j + 5.00 j
= 4.06 i + 7.74 j

magnitude = sqrt (4.06^2 + 7.74^2)
= 8.74 unit

direction = atan (y component / x component)
= atan (7.74 / 4.06)
= 62.3 degree counterclockwise from the +x axis

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