A disc of mass m and radius R is attached to a rectangular plate of the same mass, breadth R and length 2 R as shown in figure. The moment of inertia of the system about the axis AB passing through the centre of the disc and along the plane

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A disc of mass m and radius R is attached to a rectangular plate of the same mass, breadth R and length 2 R as shown in figure. The moment of inertia of the system about the axis AB passing through the centre of the disc and along the plane is Ι = 1 α 31 3 m R 2 , where value of α is

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Correct answer: 4

&#921; A B = &#921; d i s c + &#921; p l a t e + M 3 R 2 2 (From Parallel Axis Theorem) = 1 4 M R 2 + M R 2 12 + M 3 R 2 2 = 31 12 M R 2

A disc of mass m and radius R is attached to a rectangular plate of the same mass, breadth R and length 2 R as shown in figure. The moment of inertia of the system about the axis AB passing through the centre of the disc and along the plane is Ι = 1 α 31 3 m R 2 , where value of α is

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