Two Forces Acting on a Point

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Feb 16, 2022.

  1. nycmathguy

    nycmathguy

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    Section 6.5

    Can you set up parts (a) and (b) for me to do on my own this weekend? Thanks.

    This question ends Section 6.5 for us.

    Screenshot_20220215-093824_Samsung Notes.jpg
     
    nycmathguy, Feb 16, 2022
    #1
  2. nycmathguy

    MathLover1

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    (a)

    The first is F1=<5N,3N>
    and the second is F2=<4N,2N>
    you know how to plot it

    (b)
    the resultant force: F1+F2
     
    MathLover1, Feb 16, 2022
    #2
    nycmathguy and Country Boy like this.
  3. nycmathguy

    Country Boy

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    If you are expected to do a problem like this, then you are expected to know that a force with "a horizontal component of 5 Newtons and a vertical component of 3 Newtons" is represented on the graph by the vector from (0, 0) to (5, 3) and might be written as <5, 3> (many people would write the vector as (5, 3) but I prefer the "angle brackets" to distinguish a vector from a point). Similarly, a force with "a horizontal component of 4 Newtons and a vertical component of 2 Newtons" is represented on a graph by the vector from (0, 0) to (4, 3) and might be written as <4, 3>.

    The sum of vectors <a, b> and <c, d> is <a+ c, b+ d>.
     
    Country Boy, Feb 16, 2022
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  4. nycmathguy

    nycmathguy

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    Thanks. I will review your hints this weekend. It's impossible for me to do precalculus during the week.
     
    nycmathguy, Feb 16, 2022
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  5. nycmathguy

    nycmathguy

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    IMG_20220218_164655.jpg
     
    nycmathguy, Feb 18, 2022
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