Force Equilibrium
Force Equilibrium - Related Videos
09:05
Equilibrium and Free-body Diagrams
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2023
Source: Ketron Mitchell-Wynne, PhD, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Equilibrium is a special case in mechanics that is very important in everyday life. It occurs when the net force and the net torque on an object or system are both zero. This means that both the linear and angular accelerations are zero. Thus, the object is at rest, or its center of mass is moving at a constant velocity. However, this...
02:20
Dynamic Equilibrium
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2020
A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
02:56
Free Energy and Equilibrium
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2020
The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔGrxn is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium). Recall that Q is the numerical value of the mass action expression...
02:46
Calculating the Equilibrium Constant
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2020
The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression. For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation: When 0.10 mol NO2 is added to a 1.0-L flask at 25 °C, the concentration changes so that at equilibrium, [NO2] = 0.016 M and [N2O4] = 0.042 M. The value of the...
11:32
Vapor-liquid Equilibrium
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2023
Source: Michael G. Benton and Kerry M. Dooley, Department of Chemical Engineering, Louisiana State University, Baton Rouge, LA Vapor-liquid equilibrium is paramount in engineering applications such as distillation, environmental modeling, and general process design. Understanding the interactions of components in a mixture is very important in designing, operating and analyzing such separators. The activity coefficient is an excellent tool for relating molecular interactions to mixture...
FAQs
A force balance addresses translation, whereas a torque balance addresses rotation. Thus, an analysis can show that an object will not accelerate linearly while still having a rotational tendency if the applied forces produce a nonzero net torque. Checking both conditions is essential when evaluating biological structures or devices that must remain stable under load.
The reference point matters because torque is evaluated about a chosen point. In practice, selecting a relevant location allows the analyst to examine whether applied loads create a rotational tendency around that location. This is particularly useful in bioengineering models, where bones, joints, implants, or prostheses are the subjects of analysis.
Force equilibrium depends on the vector sum, not simply on the numerical size of individual loads. Forces with different directions can combine to produce a zero or nonzero resultant, changing whether linear acceleration is predicted. Representing applied loads as vectors therefore helps distinguish a genuinely balanced system from one that only appears balanced when force magnitudes are considered separately.
An equilibrium analysis begins by identifying the external forces acting on the selected object or system. The analyst then evaluates their vector sum and separately checks the net torque about a chosen point. Applying both checks provides a structured way to assess stability and motion, rather than relying on a single force measurement.
For medical devices, the analysis can guide designs intended to remain stable under applied loads. Researchers can examine how forces affect implants and prostheses, then use the balance conditions to identify loading arrangements associated with stability or rotational tendency. The resulting assessment supports device design and helps evaluate mechanical behavior.
In engineered tissues and biological structures, equilibrium analysis provides a mechanical framework for assessing applied forces. It can help researchers evaluate loads on bones and joints and develop models that predict how living systems respond to those forces. This connects a mathematical balance condition with questions about structural stability and mechanical stress in bioengineering.