In physics, the moment of force (often just moment, though there are other quantities of that name such as moment of inertia) is a pseudovector quantity that represents the magnitude of force applied to a rotational system at a distance from the axis of rotation. Physics (Greek Physis - φύσις in everyday terms is the Science of Matter and its motion. This article is about the moment of inertia of a rotating object. In Physics and Mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation but gains an In Physics, a force is whatever can cause an object with Mass to Accelerate. The concept of the moment arm, this characteristic distance, is key modelling the operation of the lever, pulley, gear, and most other simple machines involving a mechanical advantage. A pulley (also called a sheave or block) is a Wheel with a groove between two Flanges around its Circumference This is the page for mechanical Gears For other uses see Gear (disambiguation For the gear-like device used to drive a roller chain see Sprocket In Physics and Engineering, mechanical advantage (MA is the factor by which a mechanism multiplies the force put into it The SI unit for moment is the newton meter (Nm). Newton metre is the unit of moment ( Torque) in the SI system
Moment = Magnitude of Force × Force arm [the perpendicular distance to the pivot (Fd)]
In general, the (first) moment M of a vector B is
If r is a vector relative to point A, then the moment is the "moment M with respect to the axis that goes through the point A", or simply "moment M around A". If A is the origin, one often omits A and says simply moment. In Mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference
Since the moment is dependent on the given axis, the moment expression possess a common y,
The Principle of Moments, also known as Varignon's Theorem states that the moment of a force is equal to the sum of the components of that force. In Physics, the parallel axis theorem can be used to determine the Moment of inertia of a Rigid body about any axis given the moment of inertia of the This allows resolution of a moment into its component moments to solve more complex problems.
Some notable physical quantities arise from the application of moments:
The principle of moments is derived from Archimedes' discovery of the operating principle of the lever. Archimedes of Syracuse ( Greek:) ( c. 287 BC – c 212 BC was a Greek mathematician, Physicist, Engineer In the lever one applies a force (in his day most often human muscle), to an arm beam of some sort. Archimedes noted that the amount of force applied to the object, the moment of force, is defined as M = rF, where F is the applied force, and r is the distance from the applied force to object.