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Question: The resultant of two forces P and Q is of magnitude P. If P be doubled, the resultant will be inclin...

The resultant of two forces P and Q is of magnitude P. If P be doubled, the resultant will be inclined to Q at an angle –

A

000^{0}

B

30030^{0}

C

60060^{0}

D

90090^{0}

Answer

90090^{0}

Explanation

Solution

P = P2+Q2+2PQcos⁡θ\sqrt{P^{2} + Q^{2} + 2PQ\cos\theta}

Q2 + 2PQ cos q = 0

2P cos q + Q = 0

Angle Ž tan a = 2Psin⁡θQ+2Pcos⁡θ\frac{2P\sin\theta}{Q + 2P\cos\theta}

tan a = 2Psin⁡θ0\frac{2P\sin\theta}{0} = 

α=900\alpha = 90^{0}