# Two Forces Acting on a Point

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

1. ### 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.

nycmathguy, Feb 16, 2022
2. ### 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
nycmathguy and Country Boy like this.
3. ### 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
4. ### 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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