# The forces acts at a point 1 20N inclined at 30deg towards north of east 2 25N towards north 3 30N inclined at 45deg towards north of west 4 35N inclined at 40deg towards south of west Find the magnitude and direction of the resultant force.

1
by sramarajah

2015-07-30T22:39:16+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let us resolve the components of forces along the positive x axis = East... and  positive y axis ie., North..

F_x = 20 Cos 30⁰  - 30 Cos 45⁰ - 35 Cos 40⁰  Newtons
=  - 30.704 Newtons in the direction of  West...

F_y =  25 + 30 Cos (90-45)  - 35 Cos (90-40)
= 23.715  Newtons  towards  North.

Resultant is =  [tex]\sqrt{F_x^2+F_y^2}=  38.796  Newtons
direction is :  Ф deg. North of West
Tan Ф =  | F_y /  F_x | =  23.715 / 30.704 = 37.68 deg.

click on thanks button above please