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Which is correct for balanced and unbalanced forces?

A

If set of forces acting on body results in change in state such forces are called unbalanced forces

B

Object is in equilibrium if sum of all forces is zero i.e.

\sum F_{x} = 0

C

The object is in non-equilibrium state and the resultant force is non-zero. i.e.

\sum F_{x} \neq 0

D

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Solution

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If a set of forces acting on a body does not change the state of rest or of motion of an object such forces are called balanced forces. In this case object is said to be in equilibrium state. The vector sum of all forces is zero i.e. $\sum F_{x} = 0$ .
Set of forces acting on body results in change in state i.e. either changes the speed or direction, such forces are called unbalanced forces. In this case the object is in non-equilibrium state and the resultant force is non-zero. i.e. $\sum F_{x} \neq 0$ .

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