Superposition of forces is sum (Vector)

The net force exerted on an object is equal to the vector sum of all the forces exerted on it.

Notation:

1. \(\sum_i x_i\) (Sum(x_i, i)) denotes a sum of \(x_i\) over the index \(i\).

Links:

1. Wikipedia, general principle.

net_force

Vector of the net force exerted on the body.

Symbol:

F

Latex:

\({\vec F}\)

Dimension:

force

force

Vector of an individual force.

Symbol:

F[i]

Latex:

\({{\vec F}}_{i}\)

Dimension:

force

law

F = Sum(F[i], i)

Latex:

\[{\vec F} = \sum_i {{\vec F}}_{i}\]