**Title: Calculating the Moment of Inertia for a Thin Rod****Introduction:**For a thin rod, the relationship between the linear mass density (\(\lambda\)) and the length (\(L\)) can be expressed as \(\lambda \sim L^4\).**Diagram Explanation:**The diagram shows a horizontal rod, with the mass \(M\) distributed along the length \(L\) of the rod. The left end of the rod is marked as the pivot point for calculations.**Problems:**a) **Calculate \(\lambda\):** If the length \(L = 3\, \text{m}\), and the mass \(M = 4\, \text{kg}\).b) **Using the Equation:** \(I = \int r^2 \, dm\) Calculate the moment of inertia of a thin rod with mass \(M\) and length \(L\) about the left end, where \(L\) will be treated as zero.**Conclusion:**These calculations help in understanding the distribution of mass and moment of inertia for engineering and physics applications, specifically for elongated objects like rods.

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Answered: for a thin rod1~L4 ームー Calculak a if…

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for a thin rod1~L4 ームー Calculak a if L=3M ļ M=4kg Using this eauation I= S2? dM Calcucte the moment of inertia of a thin rod of Mass M and length L around the lefft end which will beu L=0