What is the line of action of force and how does it relate to torque?

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The line of action of a force refers to an imaginary line that extends indefinitely in both directions along which the force is applied. It differs from the force vector, which starts at the point of application and reflects the force's magnitude. When the line of action is not identical to the line of motion, torque is generated. Even parallel lines that do not coincide can create torque. Understanding this concept is essential for analyzing rotational motion and the effects of forces.
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Homework Statement




what is meant by line of action of force? how to understand this concept? suppose i kick a ball and the ball moves in east. then can i say the line of action of force is along the movement of the ball, that is towards the east. i find this concept of line of action of force in toque. could u please help me to understand, revered members?

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You could think of the line of action as a sort of axis along which the force is applied.
Unlike the force vector which begins at the point where the force is applied and extends according to the magnitude of the force, the line of force goes through the point and extends indefinitely in both directions.

http://en.wikipedia.org/wiki/Line_of_action

It is a geometric construct. If the lines are not identical you will have a torque applied. Note that when they say identical in this case that includes position. Even if the lines are parallel but not identical then you will still have torque.
 

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