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Statement : 1 If three forces F⃗1, F⃗2 and F⃗3 are represented by three sides of a triangle and F⃗1 + F⃗2 = −F⃗3, then these three forces are concurrent forces and satisfy the condition for equilibrium. Statements : II A triangle made up of three forces F⃗1, F⃗2 and F⃗3 as its sides takes 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 false but Statement - II is false (3) Both Statement - I and Statement - II are false (4) Statement - I and Statement - II are true
- Statement - I is false but Statement - II is true
- Statement - I is false but Statement - II is false
- Both Statement - I and Statement - II are false
- Statement - I and Statement - II are true
Correct answer: Statement - I and Statement - II are true
Solution
Both statements are true because the first statement correctly describes the condition for equilibrium where the vector sum of forces equals zero, and the second statement accurately reflects that forces represented as the sides of a triangle in order also satisfy translatory equilibrium.
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