Consider a thin uniform square sheet made of a rigid material. If its side is a, mass m and moment of inertia I about one of its diagonals, then:

JEE Main 2015 Physics question

Consider a thin uniform square sheet made of a rigid material. If its side is , mass and moment of inertia about one of its diagonals, then:

(1)
(2)
(3)
(4)Correct

Answer: (4)

Solution

Take two perpendicular in-plane axes through the centre. By the perpendicular-axis theorem , and for a square sheet . For the two axes parallel to the sides, symmetry gives . Now rotate the pair of axes until they lie along the

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Question ID VK-115228