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 answer:

F =  60.3353 N

Step-by-step explanation:

F1=42 N F2=35 N α=77°12=77°+6012°=77.2°=77.2  x0=F1=42 y0=0 x=x0+F2 cosα=x0+F2 cos77.2° =42+35 cos77.2° =42+35 0.221548=49.7542 y=y0+F2 sinα=y0+F2 sin77.2° =0+35 sin77.2° =0+35 0.975149=34.13023 F=x2+y2=49.75422+34.13022=60.3353 N



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help with mixed numbers? Try our mixed-number calculator.
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: