Force System Reduction
Force System Reduction - Related Videos
03:11
Oxidation-Reduction Reactions
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2020
Oxidation–Reduction Reactions Earth’s atmosphere contains about 20% molecular oxygen, O2, a chemically reactive gas that plays an essential role in the metabolism of aerobic organisms and in many environmental processes that shape the world. The term oxidation was originally used to describe chemical reactions involving O2, but its meaning has evolved to refer to a broad and important reaction class known as oxidation–reduction (redox) reactions. Some redox reactions involve the transfer of...
10:15
Atomic Force Microscopy Imaging and Force Spectroscopy of Supported Lipid Bilayers
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Cited by 34 •
2015
We describe a protocol for preparation of supported lipid bilayers and its characterization using atomic force microscopy and force spectroscopy.
03:13
Intermolecular Forces
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2020
Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
08:00
Force and Acceleration
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA The goal of this experiment is to understand the components of force and their relation to motion through the use of Newton's second law by measuring the acceleration of a glider being acted upon by a force. Nearly every aspect of motion in everyday life can be described using Isaac Newton's three laws of motion. They describe how objects in...
02:36
Electromotive Force
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2020
Electricity is generated by either electrons or ions flowing through a solution or a conducting medium. This flow of electrons or specifically electrical charge is defined as an electric current. When electrons move through a wire, they generate an electric current. It can be recalled that in a redox reaction, electrons are lost and gained. In the spontaneous redox reaction of zinc with copper, when zinc is immersed in a copper ion solution, a transfer of electrons from one substance to...
FAQs
Moments are summed about a selected reference point because the location of the equivalent representation matters. If the resultant force passes through that point, its line of action can represent the loading directly there. If it does not, the reduced description must retain the associated couple so the rigid body experiences the same external effect.
A force-couple pair becomes necessary when the net force alone cannot reproduce the original loading about the chosen point. The resultant accounts for the combined translational effect, while the couple preserves the rotational effect represented by the summed moments. Together, they maintain the external action required for rigid-body analysis.
Concurrent, parallel, and general coplanar systems differ by how the applied forces are arranged. In a concurrent system, forces meet at a common location; parallel forces share a direction; general coplanar loading does not require either condition. Identifying the arrangement indicates which features must be retained during reduction.
To reduce a loading, identify the forces acting on the rigid body, combine their force vectors, select a reference point, and sum the moments about it. Then express the result as a resultant force or as a force-couple pair when needed. This sequence creates a simpler representation for subsequent calculations.
A reduced force system can simplify a free-body diagram by replacing several applied loads with fewer equivalent elements. The resulting diagram is then suited to evaluating equilibrium and support reactions, because the replacement preserves the original external effect rather than requiring every force to remain displayed.
In engineering, the reduction supports different analyses without changing the loading’s external action on the rigid body. The simplified system can be used in calculations of equilibrium, reactions, stresses, or motion. This makes it relevant to structures, mechanisms, and mechanical components where many applied forces would otherwise complicate the model.