Which of the following sets of concurrent forces 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)=5N,F_(3)=6N`
D. `F_(1)=3N,F_(2)=5N,F_(3)=15`N

Answer

C

Explanation

Three concurrent forces are in equilibrium if they can be represented by the three sides of a triangle in magnitude and direction for which sum of magnitudes of any two forces must be greater than that of the third force. This condition is satisfied by set of forces in `F_(1)=3N,F_(2)=5N,F_(3)=6N`