problem01_39

# problem01_39 - 1.39 Using components as a check for any...

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1.39: Using components as a check for any graphical method, the components of B are m 4 . 14 x B and m, 8 . 10 y B A has one component, m 12 x A . a) The - x and - y components of the sum are 2.4 m and 10.8 m, for a magnitude of m, 1 . 11 m 8 . 10 m 2.4 2 2 , and an angle of . 6 . 77 2.4 10.8 b) The magnitude and direction of A + B are the same as B + A . c) The x - and y- components of the vector difference are – 26.4 m and m, 8 . 10 for a magnitude of m 28.5 and a direction arctan . 202 4 . 26 8 . 10
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Unformatted text preview: 29 . 202 4 . 26 8 . 10 =--Note that 180 must be added to ( 29 ( 29 22 arctan arctan 4 . 26 8 . 10 4 . 26 8 . 10 = =--in order to give an angle in the third quadrant. d) . ˆ m 8 . 10 ˆ m 4 . 26 ˆ m . 12 ˆ m 8 . 10 ˆ m 4 . 14 j i i j i A B + = + + =- ( 29 ( 29 . 2 . 22 26.4 10.8 arctan of angle and at m 5 . 28 m 8 . 10 m 26.4 Magnitude 2 2 = = + =...
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