PHYS 151Q.005 2-1-2008

PHYS 151Q.005 2-1-2008 - = = + = -= uuu uuu v v uuu v 2 2...

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Day 5 Fri 2-1-08 PHYS 151Q.005 4.7 A sailboat race course consists of four legs defined by the displacement vectors A, B, C and D as the drawing indicates. The magnitude of the first three vectors are A-3.2km, B=5.1km and C- 4.8km. The finish line of the course coincides with the starting line. Using the data in the drawing, find the distance of the fourth leg. , ', ' ' ' ', ' ' ' (0,0) ( ) 3.2cos 40 2.41 3.2sin 40 2.06 (2.41,2.06) ' ( ) ' 5.2 ' cos35 4.18 ' sin35 2.92 (2.41 4.18,2.06 2.92) ( ) 4.8cos(180 23) 4.42 4.8si a a a a B B B B C C C C O A x y X Y A B x y B km x B y B B OA AB BC x y x y = = = = = = = = = = = - = = = + = - +
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Unformatted text preview: = = + = -= uuu uuu v v uuu v 2 2 n(180 23) 1.88 (2.41 4.18 4.42,2.06 2.92 1.88) ( 6.19,3.1) ( 6.19 0) (3.1 0) 6.92 OC OB BC OC OC + = -= + =--+-= -=--+-= uuu uuu uuu v v v uuu v uuu v 40 cos23 ( 4.42, 1.88) (6.19, 3.1) 4.42 6.19 1.88( 3.1) 27.3 ( 5.82) 21.48 49.4 23 26.4 C OC BC OC BC B C OC BC OC θ α =180 - -α + 75+122 + 23+ = 360 180 - - 40 + 75+122 + 23+ Β = + =-= --=-= +-= + -=-= uuu uuu uuu uuu v v v v g uuu v uuu v uuu uuu v v g...
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This note was uploaded on 05/22/2008 for the course PHYS 151Q taught by Professor Wang during the Spring '08 term at UConn.

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PHYS 151Q.005 2-1-2008 - = = + = -= uuu uuu v v uuu v 2 2...

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