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From a triangular lamina of side a and mass m , a small triangular Lamina made by joining midpoints of sides of the triangular lamina is cut. The Moment of Inertia of complete Lamina about COM is I o . If the Moment of Inertia of remaining Lamina about the centroid is p q I 0 , then find the value of p + q . Where p and q are the least positive integers.

Correct answer

31

Step-by-step solution

Dimension analysis I o = K M a 2 Now for small lamina I ′ = K M 4 9 2 2 = k m a 2 16 I ′ = I o 16 So moment of Inertia of remaining part I L = I o - I ′ = I o - I o 16 I L = 15 I o 16

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