JEE Mains · Physics · STD 11 - 3.1 vectors
Statement \(I:\) If three forces \(\vec{F}_{1}, \vec{F}_{2}\) and \(\vec{F}_{3}\) are represented by three sides of a triangle and \(\overrightarrow{{F}}_{1}+\overrightarrow{{F}}_{2}=-\overrightarrow{{F}}_{3}\), then these three forces are concurrent forces and satisfy the condition for equilibrium. Statement \(II:\) A triangle made up of three forces \(\overrightarrow{{F}}_{1}, \overrightarrow{{F}}_{2}\) and \(\overrightarrow{{F}}_{3}\) 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:
- A Statement\(-I\) is false but Statement\(-II\) is true
- B Statement\(-I\) is true but Statement\(-II\) is false
- C Both Statement\(-I\) and Statement\(-II\) are false
- D Both Statement\(-I\) and Statement\(-II\) are true.
Answer & Solution
Correct Answer
(D) Both Statement\(-I\) and Statement\(-II\) are true.
Step-by-step Solution
Detailed explanation
Here \(\overrightarrow{{F}}_{1}+\overrightarrow{{F}}_{2}+\overrightarrow{{F}}_{3}=0\) \(\overrightarrow{{F}}_{1}+\overrightarrow{{F}}_{2}=-\overrightarrow{{F}}_{3}\) Since \(\overrightarrow{{F}}_{\text {net }}=0\) (equilibrium) Both statements correct
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