These problems are to be answered with detailed calculations. You will be graded

Question

These problems are to be answered with detailed calculations. You will be graded on the physics content of your answer as well as on its structure, completeness and mathematical correctness. Remember, as with everything, neatness counts. Find the x and y components of the vectors and , where their magnitudes are given by | | = 64, | | = 55, | | = 7.0, | | = 73 and their angles are as shown in the figure below. When the components have been determined, write the vectors in terms of their components. On page 81 of Serway & Vuille problem 15 On page 81 of Serway & vuille problem 17 Two vectors and have equal magnitudes of 28.4 units. They are oriented as shown in the figure below and their vector sum is .Find

Explanation / Answer

from figure

Ax = A*cos(30) = 64*cos(30) = 55.43

Ay = A*sin(30) = 64*sin(30) = 32

Bx = -B*cos(19) = -55*cos(19) = -52

By = B*sin(19) = 55*sin(19) = 17.9

Cx = -C*cos(52) = -7*cos(52) = -4.3

Cy = -C*sin(52) = -7*sin(52) = -5.52

Dx = D*cos(27) = 73*cos(27) = 65.04

Dy = -D*sin(27) = -73*sin(27) = -33.14

so

A = 55.43i + 32 j

B = -52i + 17.9 j

C = -4.3 i - 5.52 j

D = 65.04 i - 33.1 4 j

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