Forces

Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant?

Correct result:

F =  60.3353 N

Solution:

F1=42 N F2=35 N α=771260=77⋅ 60+1260=3865=77.2∘  x0=F1=42 y0=0 x=x0+F2⋅ cos⁡α∘=x0+F2⋅ cos⁡77.2∘ =42+35⋅ cos⁡77.2∘ =42+35⋅ 0.221548=49.7542 y=y0+F2⋅ sin⁡α∘=y0+F2⋅ sin⁡77.2∘ =0+35⋅ sin⁡77.2∘ =0+35⋅ 0.975149=34.13023 F=x2+y2=49.75422+34.13022=60.3353 N

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Our vector sum calculator can add two vectors given by its magnitudes and by included angle.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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