ABC is an equilateral triangle with O as its centre overset arrow F1, overset arrow F2 and overset arrow F3 represent three forces acting along the sides AB,BC and AC respectively. If the total torque about O is zero then the magnitude of overset arrow F3 is

Question

ABC is an equilateral triangle with O as its centre overset arrow F1, overset arrow F2 and overset arrow F3 represent three forces acting along the sides AB,BC and AC respectively. If the total torque about O is zero then the magnitude of overset arrow F3 is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-yxyfk7ssoqnrp4mx.jpg" /> (A) (F1 + F2/2) (B) 2( F1 + F2) (C) F1+F2 (D) F1-F2

Tardigrade Admin · Accepted Answer

overset arrow F1 and overset arrow F2 produce torque in one sense while overset arrow F3 in another.

Q. $A BC$ is an equilateral triangle with $O$ as its centre $F \to_{1}, F \to_{2}$ and $F \to_{3}$ represent three forces acting along the sides $A B, BC$ and $A C$ respectively. If the total torque about $O$ is zero then the magnitude of $F \to_{3}$ is

$\frac{F _{1} + F _{2}}{2}$

$2 (F_{1} + F_{2})$

$F_{1} + F_{2}$

$F_{1} - F_{2}$

$F \to_{1}$ and $F_{2} \to$ produce torque in one sense while $F_{3} \to$ in another.

Q. ABC is an equilateral triangle with O as its centre F→1​,F→2​ and F→3​ represent three forces acting along the sides AB,BC and AC respectively. If the total torque about O is zero then the magnitude of F→3​ is

2F1​+F2​​

2(F1​+F2​)

F1​+F2​

F1​−F2​