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(a) Using trigonometry, calculate the x and y components of the vectors A and B. This part should be pure calculator work. x-component of A: A y-component of A: A, x-component of B: B y-component of B: By Xx-component of R: R y-component of R: Ry x-component of S: S (b) Using your components from part d above, calculate the x and y components of the following vector combinations: • R = A + B • S = A + 2B .D=B-A. y-component of S: S x-component of D: Dx = y-component of D: Dy = = = = = = = = =

(a) Using trigonometry, calculate the x and y components of the vectors A and B. This part should be pure calculator work. x-component of A: A y-component of A: A, x-component of B: B y-component of B: By Xx-component of R: R y-component of R: Ry x-component of S: S (b) Using your components from part d above, calculate the x and y components of the following vector combinations: • R = A + B • S = A + 2B .D=B-A. y-component of S: S x-component of D: Dx = y-component of D: Dy = = = = = = = = =

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vector A = 7.6 m, 73 degrees W of N vector B = 3.5 m, 35 degrees N of E
(a) Using trigonometry, calculate the x and y components of the vectors A and B. This part should be pure calculator work. x-component of A: A, y-component of A: A, x-component of B: B y-component of B: By x-component of R: R y-component of R: R₂ (b) Using your components from part d above, calculate the x and y components of the following vector combinations: • R = A + B • S = A + 2B .D=B-A. x-component of S: S y-component of S: S у x-component of D: Dx - y-component of D: Dy = = = = = = =
Transcribed Image Text:(a) Using trigonometry, calculate the x and y components of the vectors A and B. This part should be pure calculator work. x-component of A: A, y-component of A: A, x-component of B: B y-component of B: By x-component of R: R y-component of R: R₂ (b) Using your components from part d above, calculate the x and y components of the following vector combinations: • R = A + B • S = A + 2B .D=B-A. x-component of S: S y-component of S: S у x-component of D: Dx - y-component of D: Dy = = = = = = =
(c) Using your components from part (c) above, calculate the magnitudes and directions of R, S, and D. When you specify a vector direction, please use the compass "north of east"-type terminology. There is more than one possible correct answer since, for example, 32° south of west is the same as 58° west of south. magnitude of R: direction of R: magnitude of S: direction of S: magnitude of D: direction of D: (d) Lastly, you'll check your calculation of one vector combination using a graphical method. Using a ruler, a protractor, and graph paper, add the vectors -A and B using the head-to-tail method to construct D = B - A. Measure your head-to-tail drawing to determine the magnitude and direction of D and compare it with your finding in part (c). Note: you will need to show the vectors -A and B on your diagram for full credit. We suggest including a scale bar to indicate the conversion from meter units to squares on the graph paper. magnitude of D, read from the construction of vector D on graph paper: direction of D, read from the construction of vector D on graph paper: Percentage difference in the magnitude of D: (take the difference between your values for D| in parts (c) and (d), divide by the value of |D| in part (c), and multiply by 100)
Transcribed Image Text:(c) Using your components from part (c) above, calculate the magnitudes and directions of R, S, and D. When you specify a vector direction, please use the compass "north of east"-type terminology. There is more than one possible correct answer since, for example, 32° south of west is the same as 58° west of south. magnitude of R: direction of R: magnitude of S: direction of S: magnitude of D: direction of D: (d) Lastly, you'll check your calculation of one vector combination using a graphical method. Using a ruler, a protractor, and graph paper, add the vectors -A and B using the head-to-tail method to construct D = B - A. Measure your head-to-tail drawing to determine the magnitude and direction of D and compare it with your finding in part (c). Note: you will need to show the vectors -A and B on your diagram for full credit. We suggest including a scale bar to indicate the conversion from meter units to squares on the graph paper. magnitude of D, read from the construction of vector D on graph paper: direction of D, read from the construction of vector D on graph paper: Percentage difference in the magnitude of D: (take the difference between your values for D| in parts (c) and (d), divide by the value of |D| in part (c), and multiply by 100)
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