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JEE Main Physics question

PhysicsMechanical Properties of SolidsJEE Main

A uniform rod of length and density is rotated in a horizontal plane about a vertical axis passing through one of its ends. The angular speed of rotation is . If the increase in length is found to be where is Young's modulus of the rod, determine the value of .

Answer: 3

Solution

At distance from the axis, the tension supporting the rest of the rod is . Integrating the strain

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Question ID VK-155218