2b - the resultant force: x y F 1 F 1 cos 40 = 150 cos 40 =...

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PHY2053 – Section 6168 Quiz #2 Friday, January 23, 2004 Name___________ KEY _______________ UFID___________________ Please read the problem carefully and be sure to show all of your work. Partial credit will be given. Two people pull on a large crate as shown in the figure below. Determine the force that a third person would have to apply on the crate such that the net force is zero. x y F 1 = 150 N F 3 = 80 N 40° 20° SOLUTION: Resolve F 1 and F 3 into x and y components and add them up to find
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Unformatted text preview: the resultant force: x y F 1 F 1 cos 40 = 150 cos 40 = +114.9 F 1 sin 40 = 150 sin 40 = +96.4 F 3 F 3 cos 160 = 80 cos 160 = -75.2 F 3 sin 160 = 80 sin 160 = + 27.4 F R +114.9 -75.2 = 39.7 +96.4 + 27.4= 123.8 Direction of F R : tan = 123.8/39.7 ! = 72.2 To have net force equal zero, must add F R : F net = F R = - 39.7 x - 123.8 y | F net | = (123.8) (39.7) 2 2 + = 130; Direction of F net: = 72.2 + 180 = 252.2...
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