Determine the resultant of the two forces ,each force is 20N,where the angles between them is
0°
60°
90°
120°
180°
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Answer:
Correct option is
A
20N;ϕ=60
0
The resultant of two force is given by F=
A
2
+B
2
+2ABcosθ
where, A & B are two vectors & θ is the angle between them.
Magnitude or resultant is
2×20
2
+2×400cos120
0
=20N
Whereas, the direction of the resultant vector is given by:
tanϕ =
A+Bcosθ
Bsinθ
=
20+20cos120
0
20sin120
0
=
3
⟹ϕ=60
0
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