Question

In a game of tug of wars, a condition of equilibrium exists. Both the teams pull the rope with a force of ${10^4}\;{\rm{N}}$. The tension in the rope is :
A. ${10^4}\;{\rm{N}}$
B. ${10^5}\;{\rm{N}}$
C. $0\;{\rm{N}}$
D. $2 \times {10^4}\;{\rm{N}}$

Answer 1

The above problem can be resolved by using the concepts and the fundamentals of the equilibrium of forces. The equilibrium of forces says that, when several forces are being applied on a particular object, then the condition at which these forces become equal in the magnitude and opposite in the direction, such that the object's resultant motion is zero. This condition can be applied in the game of tug of war, where each team is supposed to apply the force of the same magnitude in the opposite direction.

Complete step by step answer:
When the two teams in the game of tug of war apply some magnitude of the force from both sides, such that the magnitude of these forces is similar but opposite in direction, then one can say that equilibrium condition arises. Hence, for the given magnitude of applied force, the rope's tension will be the same as the applied force's magnitude.
Therefore, the tension in the rope will be of ${10^4}\;{\rm{N}}$

So, the correct answer is “Option A”.

Note:
Try to understand the equilibrium of force and apply the condition to various practical analysis like one given in the problem. The game of tug war is the living example. One can easily predict the application of the equilibrium of forces, and these forces are caused by the two teams holding the rope. Moreover, the body's resultant motion is also zero, in the case of the equilibrium of forces.