Three forces having magnitude 50N each acting at a point as shown in figure. If the angles between neighbouring forces are equal, then the resultant is
A
0N
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B
9.8N
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C
2×9.8N
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D
3×9.8N
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Solution
The correct option is A0N
Using triangle law of vector addition, we can say that the resultant vector is zero vector.
Alternate:
If we resolve the vectors in x and y directions respectively we get net force in x direction −→Fx=(50cos30∘)^i+(−50cos30∘)^i=0 Also, net force in y direction −→Fy=(50sin30∘+50sin30∘)^j+(−50)^j=0 So, magnitude of net resultant force is |→Fnet|=√|−→Fx|2+|−→Fy|2=0