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In physics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear vectors, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding vectors.
The most familiar non-contact force is gravity, which confers weight. [1] In contrast, a contact force is a force which acts on an object coming physically in contact with it. [1] All four known fundamental interactions are non-contact forces: [2] Gravity, the force of attraction that exists among all bodies that have mass. The force exerted on ...
If two non-collinear members meet in an unloaded joint, both are zero-force members. If three members meet in an unloaded joint, of which two are collinear, then the third member is a zero-force member. Restated for clarity, when there are no external loads at a pin joint, the two rules that determine zero-force members are: [2]
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique.
The net external force on the rigid body is always equal to the total mass times the translational acceleration (i.e., Newton's second law holds for the translational motion, even when the net external torque is nonzero, and/or the body rotates). The total kinetic energy is simply the sum of translational and rotational energy.
A force is an influence that can cause an object to change its velocity unless counterbalanced by other forces. The concept of force makes the everyday notion of pushing or pulling mathematically precise.
[19]: 14–15 The torque can vanish even when the force is non-zero, if the body is located at the reference point (=) or if the force and the displacement vector are directed along the same line. The angular momentum of a collection of point masses, and thus of an extended body, is found by adding the contributions from each of the points.
In particular, for three points in the plane (n = 2), the above matrix is square and the points are collinear if and only if its determinant is zero; since that 3 × 3 determinant is plus or minus twice the area of a triangle with those three points as vertices, this is equivalent to the statement that the three points are collinear if and only ...