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1443 Lecture 5 - 1443 Lecture 5 Example 5 Vector has a...

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1443 Lecture 5 Example 5 : Vector has a magnitude of 12.3km and point due west. Vector points due north. a) What is the magnitude of if B A + has a magnitude of 15.0km? b) What is the direction of B A + relative to due west? c) What is the magnitude of B if B A - has a magnitude of 15.0 km? d) What is the direction of B A - relative to due west? a) km km A C B C B A B A C 6 . 8 ) 3 . 12 ( (15.0km) 2 2 2 2 2 2 2 = - = - = = + + = b) 9 . 34 0 . 15 3 . 12 1 1 = = = - - km km Cos C A Cos θ North of West c) km B C B A B A C 6 . 8 2 2 2 = = + - = d) 9 . 34 1 = = - C A Cos θ South of West Example 6 : Find the resultant of 3 displacement vectors by means of the component method = 5.00m 160 ° = 5.00m 60 ° = 4.00m 270 ° A x = (5.00m)Cos(160 ° ) = – 4.70m A y = (5.00m)Sin(160 ° ) = 1.71m B x = (5.00m)Cos(60 ° ) = 2.50m B y = (5.00m)Sin(60 ° ) = 4.33m C x = (4.00m)Cos(270 ° ) = 0.00m C y = (4.00m)Sin(270 ° ) = – 4.00m R x = A x + B x + C x = – 4.70m + 2.50m + 0.00m = – 2.20m R y = A y + B y + C y = 1.71m + 4.33m – 4.00m = 2.04m 2 . 137 00 . 3 2 . 137 8 . 42 0 . 180 20 . 2 04 . 2 180 | | | | 180 00 . 3 ) 04 . 2 ( ) 20 . 2 ( 1 1 2 2 2 2 = = - =
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