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JEE Main Physics question

PhysicsMechanical Properties of SolidsJEE Main

A stone of 0.5 kg mass is attached to one end of a metre long aluminium wire of 1 mm diameter and is suspended vertically. The stone is now rotated in a horizontal plane at a rate, such that the wire makes an angle of with the vertical. Find the increase in length of the wire in mm. (Take Young's modulus of aluminium , , , , .)

Answer: 0.35

Solution

Vertical equilibrium of the conical-pendulum-like setup: . Area

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Question ID VK-155205