Question

the direction of three forces of magnitude 20N acting at a point are parallel to the sides of an equilateral triangle taken in order. the magnitude of their resultant is​

Answer 1

Answer:

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Answer 2

Answer:

20 Newton.

Explanation:

Since, the forces are in parallel direction to the sides of the equilateral triangle hence the components will so be along x and y axis.

So, the resolving components along x axis will be:

20N +  20N *cos 120 + 20N*cos 240

=  20 - 20* 1/2 - 20*1/2  =  0N.

  

Again the resolving components along y axis will be:-

= 20 N + 20N * √3 /2  -  20 N * √3/2.

= 20 Newtons.

So, the resulting magnitude will be √20^2 which will be 20 Newton.