What is line of action in mechanics?

1 : the line along which a force or the resultant of any number of forces may be considered to act. 2 : the locus of all points of contact between two interacting teeth of a pair of gears.

What is line of action of force in torque?

The line of action of a force is an imaginary line of indefinite length drawn along the direction of the force. The moment arm of a force is the perpendicular distance from the line of action of a force to the axis of rotation.

How is moment calculated?

moment = F x d Perpendicular distance from pivot to force d = 0.50 m. This is a clockwise moment. The force will rotate the object in a clockwise direction about the pivot. It is important to remember that the distance d is the perpendicular distance from the pivot to the line of action of the force (see diagram).

Where does the line of action come from?

This comes from the net moment →M = ∑ni=1→ri×→Fi and the net force →F = ∑ni=1→Fi. By definition the line of action is located where →M = →r ×→F and by crossing with the net force both sides gives by using the vector triple product. Now since →r is taken to be closest to the line of action, it means it points perpendicular to →F and thus →r ⋅→F = 0.

How to find the line of action of this resultant force?

Find d Did you try calculating the moments about the origin from the the x and y components of the forces separately? Then you can find a set of coordinates through which the resultant passes ( X = Σ(Fy(x))/Ry X = Σ ( F y ( x)) / R y, etc.), the slope of which resultant is R_y/R_x. Three forces are applied to a body. They are :

What is the line of action of a force called?

The line along which turning effect is acting is called the line of action of force. The perpendicular distance between axis of rotation and the line of action is the moment arm. Mathematically, torque is a product of force F and moment arm L. Torque = F x L. Torque depends on moment arm. The longer the moment arm greater the torque will produce.

What do you mean by two lines of action?

The more curve you put into that line, the more attitude, force and/or movement the image will communicate. Some artists make two lines of action — one for the body, and one for the arms.