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Question

What is the resultant of three coplanar forces 300 N at 0o, 400 N at 30 and 400 N at 150 with x axis?

A
500 N
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B
700 N
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C
1100 N
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D
300 N
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Solution

The correct option is A 500 N
By resolving all the vectors
F1=300^i,F2=400cos30^i+400sin30^j
=40032^i+4002^j
F3=400cos30^i+400sin30^j
=40032^i+4002^j
R=F1+F2+F3
=300^i+2003^i+200^j2003^i+200^j
=300^i+400^j |R|=3002+4002
|R|=500 N

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