Which of the following sets of concurren...

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

`F_(1) = 3 N, F_(2) =5 N, F_(3) = 9 N`

`F_(1) = 3N, F_(2) = 5N, F_(3) = 1 N`

`F_(1) = 3 N, F_(2) = 5 N,F_(3) = 15 N`

`F_(1) = 3 N, F_(2) = 5 N, F_(3) = 6 N`

Text Solution

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The correct Answer is:

Range of resultant of `F_(1)` and `F_2` varies between (3 + 5) = 8 N and (5 - 3) = 2 N. It means for some value of angle(`theta`), resultant 6 can be obtained. So, the resultant of 3 N, 5 N and 6 N may be zero and the forces may be in equilibrium.

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

`F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=9` `N`

`F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=1` `N`

`F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=19` `N`

`F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=6` `N`

Which of the following group of concurrent forces may be in equilibrium (R=0)?

`{:(A,B,C),(10,20,40):}`

`{:(A,B,C),(3,5,1):}`

`{:(A,B,C),(20,20,20):}`

`{:(A,B,C),(40,30,5):}`

Which of the following set is not a convex set?

`{(x,y):1lex^(2)+y^(2)le3}`

`{(x,y):x^(2)+y^(2)le2}`

`{(x,y):x+yle1}`

`{(x,y):2x^(2)+3y^(2)le6}`