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Q.

Three identical thin rods each of length ‘ $l$ ’and mass ‘ $m$ ’ are joined together to form a ladder $H$ . What is the moment of inertia of the system about one of the two sides of ‘ $H$ ’ is $\frac{4 m l^{2}}{K}$ . The value of ‘ $K$ ’ is__________

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Detailed Solution

M.I of the system about rod shown in the figure

Question Image

$I = I_{x} + I_{y} + I_{z} I = 0 + (\frac{m l^{2}}{12} + \frac{m l^{2}}{4}) + m l^{2} = \frac{4 m l^{2}}{3}$

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