65_Physics ProblemsTechnical Physics

65_Physics ProblemsTechnical Physics - 66 Vectors A = 3.00...

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66 Vectors P3.37 A = 300 . m , θ A 30 0 . B = m , B 90 0 . AA xA == ° = cos . cos . . 260 m yA ° = sin . sin . . 150±m Aij i j =+= + xy ±± . ± . ± 260 150 ej m B x = 0, B y = m s o Bj = . ± m AB i j j i j += + + = + 450 . ± . ± . ± . ± . ± m P3.38 Let the positive x -direction be eastward, the positive y -direction be vertically upward, and the positive z -direction be southward. The total displacement is then di j j k i j k =+ +− 4 80 4 80 3 70 3 70 4 80 8 50 3 70 . ± . ± . ± . ± . ± . ± . ± e j e j cm cm cm. (a) The magnitude is d =( )+ ( )+ () = 480 850 370 104 22 2 .. . . cm cm . (b) Its angle with the y -axis follows from cos . . = 10 4 , giving 35 5 P3.39 Bijk i j k B =++ = + + + = = F H G I K J = F H G I K J = F H G I K J BBB xyz ±±± . ± . ± . ± ... . cos . . . cos . . . cos . . . 400 600 4 00 6 00 3 00 7 81 781 59 2 39 8 67 4 222 1 1 1 α β γ P3.40 The y coordinate of the airplane is constant and equal to 7 60 10 3 . × m whereas the x coordinate is given by xv t i = where v i is the constant speed in the horizontal direction.
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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