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Related Concept Videos

Relative Motion Analysis - Acceleration01:10

Relative Motion Analysis - Acceleration

A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
Linearization and Approximation01:26

Linearization and Approximation

Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...
Relating Angular And Linear Quantities - I01:09

Relating Angular And Linear Quantities - I

If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and three dimensions, we can observe a mapping of the linear variables to the rotational ones.
When comparing the linear and rotational variables individually, the linear variable of position has physical units of meters, whereas the angular position variable has dimensionless units of radians, as it is the ratio of two lengths. The linear velocity...
Absolute Motion Analysis- General Plane Motion01:24

Absolute Motion Analysis- General Plane Motion

Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
As the drone's propellers rotate, an upward force is generated that counteracts the force of gravity, enabling the drone to lift off from the ground. This initial movement of the drone is along a straight path, representing a form of translational motion. In this phase, every point on the drone...

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Related Experiment Video

Updated: Jun 16, 2026

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

Optical method for testing the precision of linear motions.

G Makosch

    Applied Optics
    |February 4, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces an interferometric method using diffraction gratings and lasers to precisely measure linear motion accuracy in machines. The technique detects deviations by analyzing fringe patterns, achieving high measurement precision.

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    Area of Science:

    • Metrology and Optical Engineering
    • Precision Measurement Techniques

    Background:

    • Accurate measurement of linear motion is critical for precision machinery like drilling machines and lathes.
    • Existing methods may have limitations in sensitivity or applicability to specific machine components.

    Purpose of the Study:

    • To develop and present an interferometric method for testing the accuracy of linear motion.
    • To demonstrate the application of this method for evaluating chuck guidances in contact printing machines.

    Main Methods:

    • Utilizes a diffraction grating attached to the moving component (carriage).
    • Illuminates the grating with a laser beam, superimposing first-order diffraction terms using an imaging lens.
    • Analyzes the resulting interference fringe pattern with a microscope to detect motion deviations.

    Main Results:

    • The method indicates deviations from the intended direction of motion through fringe pattern shifts.
    • Measurement accuracy of 0.2 micrometers was achieved in tests on contact printing machines.
    • Deviations parallel to the grating lines are not detected by this specific setup.

    Conclusions:

    • The described interferometric method offers a precise way to test linear motion accuracy.
    • This technique is applicable to various industrial machines and components, including chuck guidances.
    • The method provides a sensitive and accurate tool for quality control in precision engineering.