Tension

All physical objects that are in contact exert force on each other. We give these forces different names based on the type of objects in contact. If one of the objects happen to be a rope, string, chain, or cable we call the force tension. Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance.

It is important to remember that tension is only a pulling force. Trying to push with a rope causes it to lose the tension. This might sound obvious to you, but quite often people draw the force of tension going in the wrong direction

What is Tension?

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

tension-force

Tension can be defined as,

A pulling force applied by a string or chain on another body

Watch the video below for a concise explaination of tension


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How do we calculate the force of tension?

The tension on an object is equal to the product of the mass of the object and gravitational force added to the product of the mass and acceleration.

Mathematically, it is represented as follows:

 T = mg + ma

Let us look at the solved example to better understand.

  1. There is a 10 kg mass hanging from a rope. What is the tension in the rope if the acceleration of the mass is zero?
  2. Solution:

    We know that the force of tension is calculated using the formula T = mg + ma.

    Substituting the values in the equation, we get

    T= (10 kg) (9.8 m/s2) + (10 kg) (0)

    T = 108 N

    (i)Now, assume that there is an acceleration +5 m/s2 upwards.

    Substituting, we get

    T= (10 kg) (9.8 m/s2) + (10 kg) (5 m/s2)

    T=148 N

    (ii) Assume a downwards acceleration of a = -5m/s2

    Substituting, we get

    T= (10 kg) (9.8 m/s2) + (10 kg) (-5)

    T= 48 N

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.

Stay tuned with BYJU’S to learn about concepts like tension.

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