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Q.

Two forces  F1 and  F2 are acting at a point, whose resultant is F . If  F2  is doubled F is also doubled. If  F2  is reversed then also F is doubled. Then F1  : F2  : F is

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a

2:2:3

b

3:3:2

c

3 : 2 : 3

d

2  :  3  :  2

answer is D.

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Detailed Solution

F2=F12+F22+2F1F2cosθ …(1)

4F2=F12+4F22+4F1F2cosθ (2)

4F2=F12+F22-2F1F2cosθ (3)

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