Four rods each of length l have been hinged to form a rhombus. Vertex A is fixed to rigid support, vertex C is being moved along the x-axis with a constant velocity v as shown in the figure. The rate at which vertex B is approaching the x-axis at the moment the rhombus is in the form of a square is –

Text Solution
Verified by ExpertsThe correct answer is:
C
Let AC = x and
BE = y

Then, BE 2 + AE 2 = l 2 or y
2 +
= l 2
2y
+
.
= 0
=
. 
x = 2y, when the rhombus is a square.
Hence, v B =
v c = 
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