The resultant of two forces ,one doubles the other in magnitude is perpendicular to smaller of two forces .Find the angle between two forces
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C
=
A
+
B
∠
A
B
=θ
C
⊥
B
A=2B
C
⋅
B
=0
⇒(
A
+
B
)⋅
B
=0
⇒
A
⋅
B
+B
2
=0
⇒2B
2
cosθ+B
2
=0
⇒cosθ=−
2
1
⇒θ=
3
2π
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