# 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)

## Question ID - 100323 :- 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)

3537

(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 ,

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