There are three Forces: F, F1, F2
F has a magnitude of 20 lb.'s and is directed at an object at 30 degrees from the x-axis.
F1 has an unknown magnitude, and is directed at the object at 270 degrees from the origin (0,0).
F2 has an unknown magnitude, and is directed at the object at 135 degrees from the origin (0,0).
"Determine the magnitude of the forces F1 and F2 in figure ... assuming that there is no net force on the object."
My book is very comprehensive on this kind of a word problem. Help?
F has a magnitude of 20 lb.'s and is directed at an object at 30 degrees from the x-axis.
F1 has an unknown magnitude, and is directed at the object at 270 degrees from the origin (0,0).
F2 has an unknown magnitude, and is directed at the object at 135 degrees from the origin (0,0).
"Determine the magnitude of the forces F1 and F2 in figure ... assuming that there is no net force on the object."
My book is very comprehensive on this kind of a word problem. Help?
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Sum of forces in x direction =0 (Given)
Hence
20 cos30 - F1 cos 270 - F2 cos 45 = 1.732 - F2(0.707)=0
hence
F2= 17.32/0.707= 24.5 lbs
now sum the y direction forces.
20 sin 30 + F2 sin 45 -F1 = 10 + 24.5 ( 0.707) - F1 =0
solve for F1
F1= 10 + 17.32 = 27.32 lbs
Hence
20 cos30 - F1 cos 270 - F2 cos 45 = 1.732 - F2(0.707)=0
hence
F2= 17.32/0.707= 24.5 lbs
now sum the y direction forces.
20 sin 30 + F2 sin 45 -F1 = 10 + 24.5 ( 0.707) - F1 =0
solve for F1
F1= 10 + 17.32 = 27.32 lbs