What is the virtual work of the applied forces in a system with unilateral constraints and how does it relate to static equilibrium?
Understand the Problem
The question is discussing the concept of virtual work in the context of static equilibrium involving unilateral constraints. It outlines the equations related to forces and virtual work in a system with constraints, and stresses the necessary conditions for static equilibrium.
Answer
The virtual work of the applied forces is zero in static equilibrium.
The virtual work of the applied forces in a system with unilateral constraints is zero in static equilibrium. The necessary condition is that the sum of the virtual work from both the applied and constraint forces is zero.
Answer for screen readers
The virtual work of the applied forces in a system with unilateral constraints is zero in static equilibrium. The necessary condition is that the sum of the virtual work from both the applied and constraint forces is zero.
More Information
Virtual work principle is fundamentally linked to energy methods in mechanics and is extensively used to derive equations of motion and equilibrium conditions for mechanical systems.
Tips
When applying the principle of virtual work, it’s essential to ensure that all forces and constraints are correctly identified and accounted for in the virtual work calculations.
Sources
- Wikipedia - Virtual Work - en.wikipedia.org
- Principle of Virtual Work and static equilibrium - Physics Forums - physicsforums.com
- Principle of Virtual Work: Classical Mechanics Notes (PDF) - nhn.ou.edu
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