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  • Need clarity, kindly explain! - Two force P and Q, of magnitude 2F and 3F, respectively, are at an angle with each other. If the fo - Kinematics - JEE Main

Two force P and Q, of magnitude 2F and 3F, respectively, are at an angle \theta with each other. If the force Q is doubled, then their resultant also gets doubled. Then the angle \theta is :

 

  • Option 1)

    30^{0}

  • Option 2)

    60^{0}

  • Option 3)

    90^{0}

  • Option 4)

    120^{0}

Answers (1)

best_answer

 

Parallelogram law of vector Addition -

If two vector are represented by both magnitude and direction by two adjacent side of parallelogram taken from same point then their resultant is also represented by both magnitude and direction taken from same point but by diagonal  of parallelogram.

- wherein

Represents  law of parallelogram vector Addition

R^{2} = 4F^{2}+3F^{2}+12F^{2}\cos \theta

4R^{2} = 4F^{2}+36F^{2}+24F^{2}\cos \theta

16F^{2}+12F^{2}+48F^{2}\cos \theta = 4F^{2}+36F^{2}+24F^{2}\cos \theta

\therefore 12F^{2} = 24F^{2}\cos \theta

\theta =30^{\circ}

 


Option 1)

30^{0}

Option 2)

60^{0}

Option 3)

90^{0}

Option 4)

120^{0}
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