Physics, 22.07.2021 01:00 escojo942

What's the resultant of the 3 forces?

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Answer from: edeliz2804

Explanation:

We need to find the x-components of each of these vectors and then add them together, then we need to find the y-components of these vectors and then add them together. Let's get to that point first. That's hard enough for step 1, dontcha think?

The x-components are found by multiplying the magnitude of the vectors by the cosine of their respective angles, while the y components are found by multiplying the magnitude of the vectors by the sine of their respective angles.

Let's do the x-components for all the vectors first, so we get the x-component of the resultant vector:

$F_{1x}=12 cos0$ and

$F_{1x}=12$

$F_{2x}=9cos90$ and

$F_{2x}=0$

$F_{3x}=15 cos126.87$ and

$F_{3x}=-9.0$ (the angle of 126.87 is found by subtracting the 53.13 from 180, since angles are to be measured from the positive axis in a counterclockwise fashion).

That means that the x-component of the resultant vector, R, is 3.0

Now for the y-components:

$F_{1y}=12sin0$ and

$F_{1y}=0$

$F_{2y}=9sin90$ and

$F_{2y}=9$

$F_{3y}=15sin126.87$ and

$F_{3y}=12$

That means that the y-component of the resultant vector, R, is 21.

Put them together in this way to find the resultant magnitude:

$R_{mag}=\sqrt{(3.0)^2+(21)^2}$ which gives us

$R_{mag}=21$ and now for the angle. Since both the x and y components of the resultant vector are positive, our angle will be where the x and y values are both positive in the x/y coordinate plane, which is Q1.

The angle, then:

$tan^{-1}(\frac{21}{3.0})=82$ degrees, and since we are QI, we do not add anything to this angle to maintain its accuracy.

To sum up: The resultant vector has a magnitude of 21 N at 82°

Answer from: Quest

i dont think you are wrong for wanting to get even with someone who did you wrong.

(i'm an eye for an eye kind of person) but if this person hurt you in a sexual way, i dont suggest doing anything to him. he should be taken to the proper authorities, you could go to jail depending on what you do. if it was something small like your sibling took your spot on the couch, than yea, i would get even with him by taking one of his favorite snacks lol. but i dont suggest you doing anything illegal.

Answer from: Quest

Amethod of procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses.

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