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Unformatted text preview: 2 , which yields x = 1.88 d . (b) Similarly, y = 3.90 d , (c) and z = 0.489 d . In this way we are able to deduce that ( x, y, z ) = (1.88 d , 3.90 d , 0.49 d ). 15. All the forces are being evaluated at the origin (since particle A is there), and all forces are along the locationvectors r which point to particles B, C and D. In three dimensions, the Pythagorean theorem becomes r = x 2 + y 2 + z 2 . The component along, say, the x axis of one of the forcevectors F is simply Fx/r in this situation (where F is the magnitude of F ). Since the force itself (see Eq. 131) is inversely proportional to r 2 then the aforementioned x component would have the form GmMx/r 3 ; similarly for the other components. For example, the z component of the force exerted on particle A by particle B is...
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 Spring '08
 Any
 Physics, Force

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