What are concurrent forces ? Obtain a condition for the equilibrium of three concurrent forces

Concurrent lines

What do you understand by concurrent forcrs ? State the conditions for the equilibrium of a particle under the effect of concurrent forces .

Forces in equilibrium

Assertion : A body subjected to three concurrent forces cannot be in equilibrium. Reason : If large number of concurrent forces acting on the same point, then the point will be in equilibrium, if sum of all the forces is equal to zero.

If three forces vec(F_(1)),+vec(F_(2))andvec(F_(3)) are represented by three sides of a triangle and vec(F_(1))+vec(F_(2))=-vec(F_(3)) , then these three forces are concurrent forces and satisfy the condition for equilibrium . Statement II : A triangle made up of three forces vecF_(1),vecF_(2)andvecF_(3) as sides taken in the same order ,satisfy the condition for translatory equilibrium . In the light of the above statements ,choose the most appropriate answer from the options given below :

Moment of concurrent forces about any point is constant. If vector sum of all concurrent forces is zero, then moment of all the forces about any point is also zero.

A body subjected to three concurrent force is found to be in equilibrium. The resultant of any two force

Condition for concurrency of three lines

The lines x+y-1=0,(m-1)x+(m^(2)-7)y-5=0 and (m-2)x+(2m-5)y=0 are concurrent for three values of m concurrent for one value of m concurrent for no value of m parallel for m=3.

6.Forces In Equilibrium