JEE MAIN - Physics (2021 - 31st August Evening Shift - No. 10)
Statement : 1
If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ 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 : 2
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 :
If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ 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 : 2
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 :
Statement - I is false but Statement - II is true
Statement - I is true but Statement - II is false
Both Statement-I and Statement-II are false
Both Statement-I and Statement-II are true
Explanation
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Here, $${\overrightarrow F _1} + {\overrightarrow F _2} + {\overrightarrow F _3} = 0$$
$${\overrightarrow F _1} + {\overrightarrow F _2} = - {\overrightarrow F _3}$$
Since $${\overrightarrow F _{net}} = 0$$ (equilibrium)
Both statements correct.
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