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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 | SaraNextGen Top Answer

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)

1 Answer
127 votes
Answer Key / Explanation : (c) -

(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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