Find the x- and y- components of a 20 N, 30o south of west vector.

Question

Find the x- and y- components of a 20 N, 30o south of west vector.

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Ngọc Khuê 3 years 2021-07-15T13:03:30+00:00 1 Answers 11 views 0

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    2021-07-15T13:05:26+00:00

    Answer:

    Explanation:

    If a force of 20N is situated at 30° south west, the x and y component of the vector will be expressed as:

    Fx = -Fcos 30° and Fy = -Fsin30°

    They are but negative because the force acts in the third quadrant of a four cardinal point

    Fx = -20cos30°

    Fx = -20(√3/2)

    Fx = -10√3N

    Hence the -x component if the force is -10√3N

    Fy = -20sin30°

    Fy = -20(1/2)

    Fy = -10N

    Hence the y-component is the vector is -10N

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