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Q: The principle of virtual work states that:
  • A. the virtual work done on a rigid body or a system of rigid bodies in equilibrium is a constant for any virtual displacements compatible with the constraints of the system
  • B. the virtual work done on a rigid body or a system of rigid bodies in equilibrium is zero for any virtual displacements compatible with the constrains of the system
  • C. the virtual work done on a rigid body or a system of rigid bodies that are not in equilibrium is zero for any virtual displacements compatible with the constrains of the system
  • D. the virtual work done on a rigid body or a system of rigid bodies in equilibrium is infinity for any virtual displacements compatible with the constraints of the system
Correct Answer: Option B - Virtual work–For a rigid body in equilibrium. virtual work done is zero for any virtual displacements compatible with the constrains of the system. • Work done by a real force acting through a virtual displacement is virtual work. Principle of virtual work–It is a system of co-planar forces acting on a rigid body be in equilibrium and the body undergo a slight displacement consistent with the geometrical conditions of the system, the algebraic sum of the virtual work is zero; and conversely, if this algebraic sum be zero the forces are in equilibrium.
B. Virtual work–For a rigid body in equilibrium. virtual work done is zero for any virtual displacements compatible with the constrains of the system. • Work done by a real force acting through a virtual displacement is virtual work. Principle of virtual work–It is a system of co-planar forces acting on a rigid body be in equilibrium and the body undergo a slight displacement consistent with the geometrical conditions of the system, the algebraic sum of the virtual work is zero; and conversely, if this algebraic sum be zero the forces are in equilibrium.

Explanations:

Virtual work–For a rigid body in equilibrium. virtual work done is zero for any virtual displacements compatible with the constrains of the system. • Work done by a real force acting through a virtual displacement is virtual work. Principle of virtual work–It is a system of co-planar forces acting on a rigid body be in equilibrium and the body undergo a slight displacement consistent with the geometrical conditions of the system, the algebraic sum of the virtual work is zero; and conversely, if this algebraic sum be zero the forces are in equilibrium.