The comprehension of tension is one of the vital applications of Newton’s Law of Motion. Mechanical systems such as machines hold strings and ropes in high regard due to their usefulness. Heavy loads are pulled or pushed with their help. Tension can be observed when ropes or strings are used. If we imagine a weight being drawn by the ropes the force will be applied by the person on the side which the rope is not attached to the weight. Thus, we can say that the force being applied by the person and being felt by the weight is termed as tension force.

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The force is conveyed from one end of the rope to the other when a mass-less rope is used specifically in classical mechanics. Two equal and opposite tension forces are felt by this string. To explain it with the help of example you can consider a stringed instrument. The force that will be observed will be the string tension in this string. In this post, we will discuss this force of tension and mathematical details.

What is Tension?


When a string or rope is tugged on the force that is applied on it when it is tugged on is termed as tension. The tension force is felt be every section of the rope in both the directions, apart from the end points. The end points experience tension on one side and the force from the weight attached. Throughout the string the tension varies in some circumstances.

According to its definition, “Tension is a pulling force applied by a string or chain on another body”.

We will make some assumptions for uncomplicated the whole situation

  1. The rope strings and cables have no mass.
  2.  The tension remains same throughout the rope.

Tension Formula

The tension formula is articulated as below,

\(T= \left (\frac{2m_{1}m_{2}}{m_{1}+m_{2}} \right )g\)

Law of Tension

The frequency of transverse vibration of a strained string is proportional to the square root of the tension (T) exerted on the string provided the vibrating length ll and mass per unit length mm are kept constant. That is if l and m are constant, ν ∝  √T, Newton (N) is the unit for tension.

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