Question

Two forces of magnitude 10N each add to produce a resultant of 10V3N. Find the angle between the
two forces.
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Answer 1

R square is equals to a square + b square + 2 a b cos theta where R is resultant and A and B are the two forces having a magnitude of 10 Newton so so using this formula

R^2= a^2+b^2+2abcostheta

here r is 10 underroot 3 so,

(10 underroot3)^2 =10^2 + 10^2 +2×10×10Cos thetea

300=100+100+200cos theta

300= 200+200cos theta

300=200( 1+cos theta)

300/200=1+cos theta

3/2 - 1 = cos theta

1/2 = cos theta

theta = 60 degrees

because at 60 dehrees the value of cos theta is 1/2

so,,

《ANGLE = 60°》