# What is the formula for tension??

##### 1 Answer

There is no explicit formula for tension; it is basically a reaction force that occurs on strings, ropes, etc. in the opposite direction when you apply a force in some direction. You kind of have to consider the context first. Let's take this as an example.

If the Free-Body Diagram is drawn as follows:

When

Assuming static equilibrium, examining only the part of the string with the man on it (the *exact* center), and summing the forces in the y-direction (up = positive y, right = positive x):

where **individual** upward contribution of the tension.

So, if the person's mass was

Thus, to counter a downwards force of

Other more detailed examples can be found here. The ones with pulleys are the most difficult.