Q.

If the resultant of two forces of magnitude p and 2p is perpendicular to p, then the angle between the forces is

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a

2π3

b

3π4

c

4π5

d

5π6

answer is A.

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Detailed Solution

tan⁡α=2psin⁡θp+2pcos⁡θ  here θ=90∘⇒ ∞=2psin⁡θp+2pcos⁡θ⇒p+2pcos⁡θ=0⇒ cos⁡θ=12⇒θ=2π3
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If the resultant of two forces of magnitude p and 2p is perpendicular to p, then the angle between the forces is