Two forces P and Q, of magnitude 2F and 3F, respectively are at an angle θ with each other. If the force Q is doubled, then their resultant also gets doubled. Then, the angle θ is :
Text Solution
Verified by ExpertsThe correct answer is:
D
R 2 = 4F 2 + 9F 2 + 2 × 2F × 3Fcos θ
4R 2 = 4F 2 + 36F 2 + 2 × 2F × 6 Fcos θ
13 × 4 + 12 × 4cos θ = 40 + 24cos θ
= 
θ = 120°
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