Resultant of two forces, one double other in magnitude, is perpendicular to smaller of two forces. a

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3-1.Vectors

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The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is ........ $^o$

A

$60$

B

$120$

C

$150$

D

$90$

Solution

(b) $\tan \alpha = \frac{{2F\sin \theta }}{{F + 2F\cos \theta }} = \infty $ (as $\theta = 90^°$)

$⇒$ $F + 2F\cos \theta = 0$

$⇒$ $\cos \theta = – \frac{1}{2}$

$\theta = 120^\circ $

Standard 11

Physics

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