Statement I: If three forces \(\vec{F_1}, \vec{F_2}\) and \(\vec{F_3}\) 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 \(\vec{F_1}, \vec{F_2}\) and \(\vec{F_3}\) as its 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:
(1) Statement-I is false but Statement-II is true
(2) Statement-I is true but Statement-II is false
(3) Both Statement-I and Statement-II are false
(4) Both Statement-I and Statement-II are true.
Correct answer: (4) Both Statement-I and Statement-II are true.
Explanation:
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 statement correct.