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The Scott Russell linkage (1803) translates linear motion through a right angle, but is not a straight line mechanism in itself. The Grasshopper beam/Evans linkage , an approximate straight line linkage, and the Bricard linkage, an exact straight line linkage, share similarities with the Scott Russell linkage and the Trammel of Archimedes .
The motion of the linkage can be constrained to an input angle that may be changed through velocities, forces, etc. The input angles can be either link L 2 with the horizontal or link L 4 with the horizontal. Regardless of the input angle, it is possible to compute the motion of two end-points for link L 3 that we will name A and B, and the ...
The screw is a mechanism that converts rotational motion to linear motion, and a torque (rotational force) to a linear force. [1] It is one of the six classical simple machines . The most common form consists of a cylindrical shaft with helical grooves or ridges called threads around the outside.
For free-floating (unattached) objects, the axis of rotation is commonly around its center of mass. Note the close relationship between the result for rotational energy and the energy held by linear (or translational) motion: E translational = 1 2 m v 2 {\displaystyle E_{\text{translational}}={\tfrac {1}{2}}mv^{2}}
Animation for Peaucellier–Lipkin linkage: Dimensions: Cyan Links = a Green Links = b Yellow Links = c. The Peaucellier–Lipkin linkage (or Peaucellier–Lipkin cell, or Peaucellier–Lipkin inversor), invented in 1864, was the first true planar straight line mechanism – the first planar linkage capable of transforming rotary motion into perfect straight-line motion, and vice versa.
The nearly linear motion of the linkage allows this type of engine to use a rigid connection to the piston without causing the piston to bind in its containing cylinder. This configuration also results in a smoother motion of the beam than the single-action engine, making it easier to convert its back-and-forth motion into rotation. [4] [6]
The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable velocity (non-zero acceleration). The motion of a particle (a point-like object) along a line can be described by its position x {\displaystyle x} , which varies with t {\displaystyle t} (time).
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. [1] It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory.