Understanding Collinear Force Systems

In the study of mechanics, forces are often grouped into different systems based on how their lines of action are oriented relative to each other. One such system is the collinear force system.

A force system is a collection of forces acting on an object or a system.

Let's look at the definition of a collinear force system to determine the correct characteristic.

What are Collinear Forces?

A system of forces is called a collinear force system if the lines of action of all the forces lie along the same straight line. These forces can act in the same direction or in opposite directions along that single line.

Consider an example: pushing or pulling an object along a straight track. If all the applied forces act precisely along the line of the track, they form a collinear system.

Analyzing the Options

Let's examine the given options in the context of different types of force systems:

• Does not meet at the one point: This describes non-concurrent forces. Their lines of action do not intersect at a single common point.
• Same line: This directly matches the definition of collinear forces. The line of action for every force in the system is the same straight line.
• On the same plain: This describes coplanar forces. The lines of action of these forces all lie within the same plane, but they don't necessarily lie on the same line or meet at a single point.
• Meet at one point: This describes concurrent forces. The lines of action of all forces in the system intersect at a single common point.

Based on the definitions, the characteristic that defines a collinear force system is that the lines of action of the forces lie on the same line.