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Q.

The resultant of two forces F1  and  F2 is F. If  F2 is reversed then the resultant is  2F. If   F2  is doubled then also the resultant is also doubled. Find the ratio F1:F2:F

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a

3:2:1

b

2:3:2

c

1:2:3

d

3:2:2

answer is D.

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Detailed Solution

F2=F12+F22+2F1F2cosθ

4F2=F12+F22−2F1F2cosθ

If   F2  is doubled then resultant is 2F

4F2=F12+4F22+4F1F2cosθ

on simplification, eliminate 'θ' then F1:F2:F=2:3:2

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