Two forces F 1 and F 2 act on an object at a point P in the indicated directions

Question

Two forces F1 and F2 act on an object at a point P in the indicated directions. The magnitude of F1 is 22 lb and the magnitude of F2 is 11 lb.

Two forces F1 and F2 act on an object at a point P in the indicated directions. The magnitude of F1 is 22 lb and the magnitude of F2 is 11 lb. If theta 1=25 and theta 2=35, find the resultant acting force on the object as well as it's magnitude and its direction. Resultant force = Magnitude of resultant force = Direction of resultant force = degrees from a hoizontal ray extending to the right of P.

Explanation / Answer

F1=22cos25 i +22sin25 j

F2=11cos35 i+11sin35 j

F=F1+F2=(22cos25+11cos35)i+(22sin25+11sin35)j

=28.95 i+15.6j

magnitude of F=32.88 lb

direction of F is 28.31 degree to positive x axis

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