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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Rotational Motion

NEET 2012 · Physics · Rotational Motion

A B C is an equilateral triangle with O as its centre. F_1, ~F_2...

ABCA B C is an equilateral triangle with OO as its centre. F1, F2\mathrm{F}_1, \mathrm{~F}_2 and F3\mathrm{F}_3 represent three forces acting along the sides AB,BCA B, B C and ACA C respectively. If the total torque about OO is zero then the magnitude of F3\mathrm{F}_3 is A B C is an equilateral triangle with O as its centre. F_1, ~F_2 and F_3 represent three forces acting along the sides

Options

  1. AF1+F2F_1+F_2
  2. BF1−F2F_1-F_2
  3. CF1+F22\frac{F_1+F_2}{2}
  4. D2(F1+F2)2\left(F_1+F_2\right)

Correct answer

A. F1+F2F_1+F_2

Step-by-step solution

If we take clockwise torque τ=τF1+τF2+τF30=F1r+F2r+F3rF3=F1+F2\begin{aligned} \tau & =\tau_{F_1}+\tau_{F_2}+\tau_{F_3} \\ 0 & =F_1 r+F_2 r+F_3 r \\ F_3 & =F_1+F_2 \end{aligned}
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