Statement-1: If three forces and are represented by three sides of a triangle and, , then these three forces are concurrent forces and satisfy the condition for equilibrium.
Statement-II: A triangle made up of three forces and 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:
Statement-II: A triangle made up of three forces and 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)Both Statement-I and Statement-II are true✓ Correct
- (C)Statement-I is true but Statement-II is false
- (D)Both Statement-I and Statement-II are false
Answer: (B)
Solution
Statement-I is true: If , then , which is the condition for equilibrium. The forces form a closed triangle and are concurrent.
Statement-II is false: For translatory equilibrium, the vector sum must be zero. A triangle of forces taken in the same order means (they form a closed loop but don't sum to zero vectorially unless taken head-to-tail).
Statement-II is false: For translatory equilibrium, the vector sum must be zero. A triangle of forces taken in the same order means (they form a closed loop but don't sum to zero vectorially unless taken head-to-tail).
JEE Main · 2021 · 31 Aug 2021 · Shift 2 · Single correct option