(Clockwise moments are usually considered negative, and counter-clockwise moments positive).
): The shortest distance (perpendicular) from the axis of rotation to the line of action of the force. The product of the magnitude of the force ( ) and its lever arm ( M=F⋅dcap M equals cap F center dot d Units: Newton-meters (N·m).
An infinite line passing through the force vector. Lever Arm (
The point through which the resultant of all gravitational forces acting on the particles of the body passes, regardless of the body's orientation. For simple geometric shapes made of uniform material, it coincides with the geometric center.
Statics is the branch of mechanics that studies the conditions for the equilibrium of bodies. Equilibrium is a state where a body remains at rest or moves uniformly and rectilinearly relative to a chosen inertial frame of reference. 2. Key Concepts
To ensure a body does not move translationally or rotate, two conditions must be met simultaneously:
The algebraic sum of the moments of all external forces about any axis of rotation must be zero. ∑Mi=0sum of cap M sub i equals 0
If displaced slightly, the body moves further away from its original position (the center of gravity lowers).
(Clockwise moments are usually considered negative, and counter-clockwise moments positive).
): The shortest distance (perpendicular) from the axis of rotation to the line of action of the force. The product of the magnitude of the force ( ) and its lever arm ( M=F⋅dcap M equals cap F center dot d Units: Newton-meters (N·m).
An infinite line passing through the force vector. Lever Arm (
The point through which the resultant of all gravitational forces acting on the particles of the body passes, regardless of the body's orientation. For simple geometric shapes made of uniform material, it coincides with the geometric center.
Statics is the branch of mechanics that studies the conditions for the equilibrium of bodies. Equilibrium is a state where a body remains at rest or moves uniformly and rectilinearly relative to a chosen inertial frame of reference. 2. Key Concepts
To ensure a body does not move translationally or rotate, two conditions must be met simultaneously:
The algebraic sum of the moments of all external forces about any axis of rotation must be zero. ∑Mi=0sum of cap M sub i equals 0
If displaced slightly, the body moves further away from its original position (the center of gravity lowers).