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

  • Option 1)

    F_{1}+F_{2}

  • Option 2)

    F_{1} - F_{2}

  • Option 3)

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

  • Option 4)

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

 

Answers (1)

As discussed in

Equilibrium -

sum vec{F}=0   Translational equilibrium

 

sum vec{	au }=0     Rotational equilibrium

-

 

 

F_{1}x+F_{2}x=F_{3}x

F_{3}=F_{1}+F_{2}


Option 1)

F_{1}+F_{2}

This option is correct.

Option 2)

F_{1} - F_{2}

This option is incorrect.

Option 3)

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

This option is incorrect.

Option 4)

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

This option is incorrect.

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