62_Physics ProblemsTechnical Physics

62_Physics ProblemsTechnical Physics - Chapter 3 P3.25 63...

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Chapter 3 63 P3.25 + x East, + y North x y dxy y x ∑∑ = = =+ = == = =− ° 250 125 30 358 75 125 30 150 12 5 358 12 5 358 12 5 358 00349 200 358 2 00 22 + m +. m m . . m at S of E cos sin . tan . . ch afa f θ d P3.26 The east and north components of the displacement from Dallas (D) to Chicago (C) are the sums of the east and north components of the displacements from Dallas to Atlanta (A) and from Atlanta to Chicago. In equation form: ddd DC east DA east AC east DC north DA north AC north . m i l e s . + 5 6 0 . m i l e s . ° ° = ° ° = 730 5 00 560 21 0 527 730 5 00 21 0 586 cos sin sin cos By the Pythagorean theorem, dd d =+= () ( ) DC east DC north mi 788 . Then tan d d DC north DC east . 1 11 and 48 0 .. Thus, Chicago is 788 48 0 miles at northeast of Dallas . ° . P3.27 (a) See figure to the right. (b) CAB i j i j i j = + =++−= + 600
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