The sum of two forces P→ and Q→ is R→ such that R→=P→ . The angle θ (in degrees) that the resultants of 2P→ and Q→ will make with Q→ is ____
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Detailed Solution
From triangle law of vector addition , we can say that angle between 2P→+Q→ and Q→ is 90º Alternate solution P→+Q→=P→ P2+Q2+2PQcosθ=P2 ⇒Q+2Pcosθ=0 ⇒cosθ=-Q2P tanα=2Psinθ2Pcosθ+Q=∞∵2Pcosθ+Q=0α=90ºSo angle between 2P¯+Q¯ and Q¯ is 90º