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If three forces vec(F(1)),+vec(F(2))andv...

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 :

A

Both Statement I and Statement II are true

B

Statement I is true but Statement II is false

C

Both Statement I and Statement II are false

D

Statement I is false but Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
A

Here `vec(F)_(1) + vec(F)_(2) + vec(F)_(3)= 0`
`vec(F)_(1)+ vec(F)_(2)= - vec(F)_(3)`
Since `vec(F)_("net")= 0` (equilibrium)
Both statements are correct
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