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Chapter 1.6, Problem 15P

is a dimensionality homogeneous equation which gives F in newtons. Determine to three significant figures the gravitational force acting between two spheres that are touching each other. The mass of each sphere is 200 kg and the radius is 300 mm.

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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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