Four rods of side length have been hinged to form a rhombus. Vertex
is fixed to a rigid support, vertex
is being moved aling the
-axis with constant velocity
as shown in Figure. The rate at which vertex
is nearing the
-axis at the moment the rhombus is in the form of a square is
a) |
|
b) |
|
c) |
|
d) |
|
Four rods of side length have been hinged to form a rhombus. Vertex
is fixed to a rigid support, vertex
is being moved aling the
-axis with constant velocity
as shown in Figure. The rate at which vertex
is nearing the
-axis at the moment the rhombus is in the form of a square is
a) |
|
b) |
|
c) |
|
d) |
|
(c)
Let the velocity compounds of point alongh
and
directions are
and
. As length of the rod is constant, along the length of the rod, velocity of each point must be the same (rigid body constraint)
Along rod ,
Along rod ,