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Chapter 1.6, Problem 3P

Represent each of the following combinations of units in the correct SI form: (a) Mg/ms, (b) N/mm, (c) mN/(kg · μS).

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Three cables are pulling on a ring located at the origin, as shown in the diagram below.  FA is 200 N in magnitude with a transverse angle of 30° and an azimuth angle of 140°.  FB is 240 N in magnitude with coordinate direction angles α = 135° and β = 45°.  Determine the magnitude and direction of FC so that the resultant of all 3 force vectors lies on the z-axis and has a magnitude of 300 N.  Specify the direction of FC using its coordinate direction angles.
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