In an equilateral triangle A B C F1 F2 and F3 are three forces acting along the sides A B, B C and A C as shown in the given figure. What should be the magnitude of F3 so that the total torque about O is zero?

Question

In an equilateral triangle A B C F1 F2 and F3 are three forces acting along the sides A B, B C and A C as shown in the given figure. What should be the magnitude of F3 so that the total torque about O is zero? (A) 2 N (B) 4 N (C) 6 N (D) 8 N

Tardigrade Admin · Accepted Answer

The total torque about O is given by or τ=F1 d+F2 d-F3 d ⇒ F3=F1+F2=4+2=6 N Here, d is the perpendicular distance of O from every side of the equilateral triangle.

Q. In an equilateral triangle $A BC F_{1} F_{2}$ and $F_{3}$ are three forces acting along the sides $A B, BC$ and $A C$ as shown in the given figure. What should be the magnitude of $F_{3}$ so that the total torque about $O$ is zero?

2 N

4 N

6 N

8 N

The total torque about $O$ is given by or
$τ = F_{1} d + F_{2} d - F_{3} d$
$\Rightarrow F_{3} = F_{1} + F_{2} = 4 + 2 = 6 N$
Here, $d$ is the perpendicular distance of $O$ from every side of the equilateral triangle.

Q. In an equilateral triangle ABCF1​F2​ and F3​ are three forces acting along the sides AB,BC and AC as shown in the given figure. What should be the magnitude of F3​ so that the total torque about O is zero?

2 N

4 N

6 N

8 N

The total torque about O is given by or τ=F1​d+F2​d−F3​d ⇒F3​=F1​+F2​=4+2=6N Here, d is the perpendicular distance of O from every side of the equilateral triangle.

Q. In an equilateral triangle $A BC F_{1} F_{2}$ and $F_{3}$ are three forces acting along the sides $A B, BC$ and $A C$ as shown in the given figure. What should be the magnitude of $F_{3}$ so that the total torque about $O$ is zero?

The total torque about $O$ is given by or
$τ = F_{1} d + F_{2} d - F_{3} d$
$\Rightarrow F_{3} = F_{1} + F_{2} = 4 + 2 = 6 N$
Here, $d$ is the perpendicular distance of $O$ from every side of the equilateral triangle.