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Question

Given in the figure are three cases with the directions and magnitudes of forces indicated accordingly. Which of the three boxes is experiencing balanced force?

A
Box (i)
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B
Box (ii)
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C
Box (iii)
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D
Both the boxes (i) and (ii)
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Solution

The correct option is C Box (iii)
When all the forces acting on a body are equal in magnitude but opposite in direction such that they cancel each other's effect, they are said to be balanced else they are unbalanced.

Case (i): The two forces are acting in opposite directions with unequal magnitudes. Thus, the forces are unbalanced.
Case (ii): The two forces are acting in same direction with equal magnitudes thus they do not cancel each other. So, they are unbalanced.
Case (iii)- Though both the forces are acting on the same side of the box, their directions are opposite; and their magnitudes are equal. Thus, the forces cancel out each other and hence are balanced.

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