Physics / core

Tension

Also known as: string force, T

definition

The pulling force transmitted through a rope, string, or cable when it is pulled taut at both ends. Tension is essential for analyzing pulleys, suspension bridges, elevators, and any system where objects are connected by ropes, cables, or chains.

๐Ÿ’ก Intuition

The 'tightness' you feel in a rope when both ends are being pulled in opposite directions.

Core Idea

Tension pulls both connected objects toward each other along the rope's length.

Formal View

For an ideal massless, inextensible string, the tension T is uniform throughout. At each point, the string exerts equal and opposite forces T on the objects at its endpoints. For an accelerating system, T = m(g \pm a) where the sign depends on the direction of acceleration.

๐Ÿ”ฌ Example

A rope holding a hanging lamp pulls upward with tension equal to the lamp's weight.

๐ŸŽฏ Why It Matters

Tension is essential for analyzing pulleys, suspension bridges, elevators, and any system where objects are connected by ropes, cables, or chains. It transmits forces across distances without direct contact.

โš ๏ธ Common Confusion

In an ideal (massless) rope, tension is the same at every point along its length.

๐Ÿ’ญ Hint When Stuck

When solving a tension problem, first isolate the object connected to the rope and draw a free-body diagram. Then apply Newton's second law along the direction of the rope. Finally, if the rope is massless and there is no friction on a pulley, tension is the same throughout the rope.

Related Concepts

Prerequisites

Next Steps

How Tension Connects to Other Ideas

To understand tension, you should first be comfortable with force. Once you have a solid grasp of tension, you can move on to equilibrium.

Go Deeper

Frequently Asked Questions

What is Tension in Physics?

The pulling force transmitted through a rope, string, or cable when it is pulled taut at both ends.

Why is Tension important?

Tension is essential for analyzing pulleys, suspension bridges, elevators, and any system where objects are connected by ropes, cables, or chains. It transmits forces across distances without direct contact.

What do students usually get wrong about Tension?

In an ideal (massless) rope, tension is the same at every point along its length.

What should I learn before Tension?

Before studying Tension, you should understand: force.

๐Ÿงช Interactive Playground

Drag to explore. Click to commit changes.