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Two forces of equal magnitude F act at a point. If the angle between them is θ, then the magnitude of the resultant force is |
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Answer» `F sqrt(2(l-sintheta))` `R=sqrt(F_(1)^(2)+F_(2)^(2)+2F_(1)^(2)F_(2)^(2)costheta)` implies`R = sqrt(F^(2)+F^(2)+2F^(2)costheta)` implies `R = sqrt(2F^(2)+2F^(2)costheta)` `implies R = sqrt(2F^(2)(1 +costheta)` since, `1+costheta = 2 cos^(2)theta/2` `R = sqrt(2F^(2)(2cos^(2)theta/2))` `R = sqrt(4F^(2)cos^(theta/2))` `R = 2Fcostheta/2`. |
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