How to calculate the moment of force on any axis

M = f * l

where m is the moment of force F on the rotation axis O. if the object has the effect of anti clockwise rotation, it is defined as positive moment, otherwise it is negative moment

unit: in the international system of units, the unit of moment is Newton * meter, abbreviated as Newton * meter, symbol: n * m

in physics, moment refers to the tendency of force to make an object rotate around the axis of rotation or fulcrum. The unit of moment is Newton meter. The Greek letter is tau

moment originated from Archimedes' research on lever. Rotational torque is also called torque or torque. Torque can change the rotational motion of an object. Pushing or pulling involves forces, while torsion involves moments. The moment is equal to the cross proct of the radial vector and the applied force

equilibrium conditions:

(1) the equilibrium of a body with a fixed axis of rotation means that the body is stationary or rotates uniformly around the axis of rotation

the resultant force is zero and the resultant moment is zero at the same time, that is ∑ FX = 0, ∑ FY = 0, ∑ M = 0

torque:

(1) arm of force (L): the vertical distance from the rotation axis to the action line of force

(2) moment (m): M = L × F. The unit is n * M

(4) torque is a vector, only clockwise and counterclockwise directions are considered in middle school. It is usually specified that the torque is positive counterclockwise and negative clockwise

extended data:

according to the international system of units, the unit of energy and work is Joule, which is defined as 1 Newton meter. But Joule is not a unit of moment. Because energy is a scalar of the distance of the proct of the force points; The moment is the pseudo vector of the distance cross proct force. Of course, the same dimension is not only a coincidence; It takes 2 * PI joules of energy to apply a 1 N-M moment to a full revolution

when an object is in static equilibrium, the static force is zero and the net moment to any point is zero. For two-dimensional space, the requirement of balance is:

x, Y direction resultant force is 0, and resultant moment is 0

1. The moment of force F to point O is not only determined by the force, but also related to the position of the moment center. The moment varies with the position of the moment center

Torque: the proct of the force and the arm of force is called the torque of the force on the axis of rotation

that is: M = f * l

where m is the moment of force F on the rotation axis O. any moment that causes the object to rotate in a counter clockwise direction is defined as a positive moment, and vice versa

torque: the proct of force (f) and arm of force (L) (m). That is: M = f · L, When an object rotates around a fixed axis, there are only two possible directions for the torque, so it can be expressed by sign; Therefore, the resultant moment of several torques acting on a rotating body with a fixed axis is equal to their algebraic sum. This algebraic sum will determine whether the body is in equilibrium or non-equilibrium.

in the international system of units, the unit of torque is Newton meter. Note that it cannot be written as Joule. Joule is the unit of energy, Torque and energy are two different concepts.

in the calculation of torque, attention should be paid to the vertical distance from the axis of rotation to the line of action of the force in the plane perpendicular to the axis of rotation

1. moment: the proct of force and arm of force is called the moment of force to rotation axis. That is: M = f * l
   

2. where m is the moment of force F on the rotation axis O. the moment that causes the object to rotate in anti clockwise direction is defined as positive moment, and vice versa as negative moment
   

3. unit: in the international system of units, the unit of moment is Newton * meter, abbreviated as Newton * meter, and the symbol is n * M

5. in physics, torque refers to the tendency that the force makes the object rotate around the rotation axis or fulcrum. The unit of moment is Newton meter. The Greek letter is tau. The concept of moment originated from Archimedes' study of lever. Rotational torque is also called torque or torque. Torque can change the rotational motion of an object. Pushing or pulling involves forces, while torsion involves moments. The moment is equal to the cross proct of the radial vector and the applied force

6. the physical quantity of the rotation effect of the moment of force on the object. It can be divided into moment of force to axis and moment of force to point. That is: M = lxf. Where l is the distance vector from the axis of rotation to the point of force and F is the vector force; The moment is also a vector

7. the moment of a force on an axis is the physical quantity of the rotation action of a force on an object about an axis, which is equal to the proct of the component of the force on the plane perpendicular to the axis and the vertical distance from the action line of the component to the axis. For example, when opening the door, the external force F is parallel to the component force F of the door shaft П There is no turning effect on the door (Fig. 1) because the force is balanced by the constraint of the fixed axis (see Constraint). The force that can rotate the door is the component force F ⊥ of F in the plane perpendicular to the door axis, and its value f ⊥ is fcos α Make a plane perpendicular to the axis from the action point a of F П， Intersects the axis at point o. According to the experiment, the rotation effect of force F on the object is proportional to the vertical distance L from O to f ⊥. L is called the force arm of F ⊥ to the axis, which is equal to rsin β， Where r = OA; β It's the angle between F ⊥ and OA. Therefore, the rotation effect of force F on the object is determined by fcos α And rsin β This physical quantity is called the moment of force F on the axis, which is an algebraic quantity. When α= 0 ° and β= ninety ° Therefore, in order to improve the rotation efficiency, the force F should be in the vertical plane of the axis and perpendicular to the connecting line OA. If the force F is in the vertical plane of the axis (Fig. 2), the moment of the force to the axis is rfsin β This quantity can also be expressed as twice the area of △ OAB, where AB = F{ RRRRR}