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Find the resultant force

Find the resultant force-example-1
User Biegleux
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1 Answer

3 votes

951 1404 393

Answer:

61.03 N at 35° above the horizontal

Explanation:

The forces operate at right angles, so the Pythagorean theorem can be used to find the magnitude of the resultant:

||F1 +F2|| = √(50² +35²) = √3725 ≈ 61.03 . . . . newtons

The angle (α) relative to F2 can be found using the tangent relation.

tan(α) = 50/35

α = arctan(50/35) ≈ 55.008°

Then the angle relative to the horizontal reference line is ...

55.0° -20° = 35.0°

The resultant is about 61.03 N at an angle of 35° above the horizontal.

User Amila Weerasinghe
by
3.2k points