let us discus the concept of floatation of
a body due to fluid pressure.
here you can see a body is floating in a liquid,
which is partially submerged, in the liquid.
in this situation we can say the portion of
body which is submerged in the liquid, the
liquid is going to exert a force at every
point normal to the, surface of body due to
fluid pressure which we have discussed . in
this situation we can see, as all the, liquid
particles which are in contact with the body
or pushing the body surface in the normal
direction.
and here you can see, all the forces.
on body surface.
due to fluid pressure.
have there horizontal components.
balanced.
this can be directly seen here like if there
is a force which is acting on the body in
this direction it’ll have two components
one is horizontal other is vertical. and there
is another force which is acting here which
will also be having two component one is horizontal
other is vertical.
so we can say as the body is floating.
and it is in equilibrium it is neither moving
toward left nor moving right.
that means for all the forces the horizontal
components , which are acting towards right
as well as which are acting toward left must
balance each other as the body is in equilibrium.
so we can simply state all the horizontal
components will cancel each other.
and all the.
forces due to fluid pressure which are acting
having there vertical component in upward
direction.
so we can simply state . all vertical components.
of forces.
due to fluid pressure.
balance the weight of body.
under floatation.
so we can simply state if body is floating
under equilibrium we can simply say if we
draw the free body diagram of the body in
its free body diagram in downward direction
it’ll be experiencing its weight m-g. in
upward direction, it is the summation of all
vertical forces.
due to fluid pressure, which are balancing
the weight of the body.
so under floatation we can simply state.
the whole body surface which is in contact
with the fluid under its submerged portion
, all these forces will have there vertical
component balancing the weight of body and
horizontal components they cancel each other.
