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Q.

O is the center of 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 figure. what should be the magnitude of F3 so that the total torque about O is zero

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a

(F1 -F2)

b

(F1 + F2)

c

(F1 +F2)/2

d

2(F1 + F2)

answer is C.

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Detailed Solution

Here AO = BO = CO = r
Hence r x F1 + r x F2 r x F3= 0
or r x[F1+F2-F3]=0
This gives F3 = F1 + F2

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O is the center of 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 figure. what should be the magnitude of F3 so that the total torque about O is zero