Question:easy

Two forces P and Q acting at \(\theta\) the resultant force R is given by

Show Hint

This resultant formula is a fundamental relation in vector mechanics. You can quickly verify its validity using special cases:
- For \(\theta = 0\ ^\circ\) (parallel forces): \(R = P + Q\).
- For \(\theta = 90\ ^\circ\) (perpendicular forces): \(R = \sqrt{P^2 + Q^2}\).
  • \(R = \sqrt{P^2 + Q^2 + 2PQ\sin2\theta}\)
  • \(R = \sqrt{P^2 + Q^2 + 2PQ\cos\theta}\)
  • \(R = \sqrt{P^2 + Q^2 - 2PQ\sin2\theta}\)
  • \(R = \sqrt{P^2 + Q^2 + 2PQ\cos2\theta}\)
Show Solution

The Correct Option is B

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