enumerate the nature of the force which may be omitted in forming the equation of virtual work
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The work done by any force during a virtual displacement is called virtual work. It is denoted by δW. The work done by a constraint force is usually zero which implies that even the virtual work done by a constraint force will be zero.
δW = F x δr, where force is F and δr is the displacement of the point where the force is being applied.
The principle of virtual work states that " The necessary and sufficient condition for the equilibrium of a mechanical system without friction is that the virtual work done by the externally applied forces is zero ".
Examples - In the case of a particle that is moving on a plane, the motion is perpendicular to the normal reaction. So it does zero work on the particle.
In the pendulum, the motion of the bob is perpendicular to the tension in the string, which is considered as the force of constraint. Therefore, no work is done on the bob by the constraint force.
δW = F x δr, where force is F and δr is the displacement of the point where the force is being applied.
The principle of virtual work states that " The necessary and sufficient condition for the equilibrium of a mechanical system without friction is that the virtual work done by the externally applied forces is zero ".
Examples - In the case of a particle that is moving on a plane, the motion is perpendicular to the normal reaction. So it does zero work on the particle.
In the pendulum, the motion of the bob is perpendicular to the tension in the string, which is considered as the force of constraint. Therefore, no work is done on the bob by the constraint force.
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