Question:

In a tug of war, two opposite teams pull the rope with an equal and opposite force of 20 kN at each end of the rope. If the equilibrium condition exists in the rope, the tension in it is

Updated On: Apr 7, 2025
  • 10kN
  • 20kN
  • 40kN
  • 15kN
  • zero
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The Correct Option is B

Approach Solution - 1

In a tug of war, if the two teams apply equal and opposite forces at each end of the rope, the rope is in equilibrium. This means that the tension in the rope is equal to the force applied by one of the teams. Since each team pulls with a force of 20 kN, the tension in the rope will be 20 kN, because the rope must resist this force to maintain equilibrium.

The correct option is (B) : 20kN

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Approach Solution -2

When two teams in a tug of war pull with equal and opposite forces of 20 kN each, and the rope is in equilibrium, it means the net force on the rope is zero, but the rope is under tension due to the pulls from both sides.  

The tension in the rope is equal to the force applied by either team, since each team is pulling with 20 kN and the system is balanced. 

Answer: 20 kN

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