Question

Two equal forces of magnitude P represents the components of resultant. The angle made by the resultant with horizontal is ______ degree

Answer 1

Answer:

theta/2

Explanation:

Whenever 2 Vector quantities (Here forces) are acting at a point , then the resultant always bisect the angle made by the 2 forces . So the angle with horizontal is theta/2 , if we take the angle to be theta

Answer 2

Answer: the angle would be $120^{0}$

Explanation:

• If the two equal forces of the same magnitude P form the result then the angle made by the 2 forces can be written as,

                   $R^{2} =A^{2} +B^{2} +2ABCOS$Ф

                   R = resultant,

                    A, and B are the 2 forces

• Ф is the angle between the 2 forces

∴ we can write as,

             $R^{2} =P^{2} +P^{2}+2PPCOS$Ф

            $P^{2} =2P^{2} +2P^{2} COS$Ф

            $P^{2} COS$Ф$=P^{2} (1-2)$

             $COS$Ф$=\frac{-1}{2}$

            ∴Ф$=120^{0}$

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