find the virtual work done by thrust of a rod.
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total force acting on the particle be F, As the particle is inequilibrium so F = 0. Let F
a
and F
c
be the applied and constraint forces acting onthe particle then, F
a
+F
c
=0. Let
r
be any arbitrary infinitesimal displacementconsistent with the constraint then
.0
a c
F F r
. As constraint are workless so
..0
a c
F r F r
as constraint are workless, then
.0
c
F r
then
.0
a
F r
.
For set of particle:
A set of particles subjected to a workless constraint, is inequilibrium iff zero virtual work is done by applied force in any arbitraryinfinitesimal displacement consistent with the constraints.
a
and F
c
be the applied and constraint forces acting onthe particle then, F
a
+F
c
=0. Let
r
be any arbitrary infinitesimal displacementconsistent with the constraint then
.0
a c
F F r
. As constraint are workless so
..0
a c
F r F r
as constraint are workless, then
.0
c
F r
then
.0
a
F r
.
For set of particle:
A set of particles subjected to a workless constraint, is inequilibrium iff zero virtual work is done by applied force in any arbitraryinfinitesimal displacement consistent with the constraints.
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