1. Resolve a force of 10 N into two components, if it acts at an angle of 30o with the horizontal.

Asked by sarthaknegi00 | 30th May, 2020, 12:48: PM

Expert Answer:

F = 10 N 
An angle of force with horizontal, θ = 30º
 
The components of force can be resolved as horizontal component (Fx) and vertical component (Fy)
 
H o r i z o n t a l space c o m p o n e n t comma space F subscript x space equals space F space cos theta space
space F subscript x space equals space 10 space cos space 30 degree space space
equals space 10 cross times fraction numerator square root of 3 over denominator 2 end fraction space equals space 5 square root of 3 space space equals space 5 cross times 1.732 space equals space 8.66 space N space
V e r t i c a l space c o m p o n e n t comma space F subscript y space equals space F space sin theta
space F subscript y space equals space 10 space sin space 30 degree space
equals space 10 cross times 1 half space equals space 5 space N space
 
 

Answered by Shiwani Sawant | 30th May, 2020, 06:27: PM