Which of the following sets of concurrent force may be in equilibrium?

Options

A. `F_(1)=3N,F_(2)=5N,F_(3)=1N`
B. `F_(1)=3N, F_(2)=5N, F_(3)=9N`
C. `F_(1)=3N.F_(2),F_(3)=6N`
D. `F_(1)=3N,F_(2)=5N, F_(3)=15N`

Answer

C

Explanation

`F_(1)-F_(2)le|vecF_(1)+vecF_(2)|leF_(1)+F_(2)`
`F_(3)` must lie between `F_(1)-F_(2)leF_(3)leF_(1)+F_(2)` to produce zero resultant.