First slide

Torque

Question

ABC is an equilateral triangle with O as its centre. ${\vec{F}}_{1}, {\vec{F}}_{2} and {\vec{F}}_{3}$ represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of ${\vec{F}}_{3}$ is :

Moderate

A

$\frac{F_{1} + F_{2}}{2}$
B

2(F₁ + F₂)
C

(F₁ + F₂)
D

(F₁ - F₂)

Solution

${Στ}_{0} = 0 \Rightarrow (F_{1} + F_{2}) d = F_{3} d \Rightarrow F_{3} = F_{1} + F_{2}$

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