15.Consider a non-uniform long thin rod with total mass m, length I, and the linear massdensity given by λ = 50 + 20x.(a) Calculate the center of mass of the rod.(b) Ifl = 30 cm, how far from the x = 0 end is its cm?(c) Calculate moment of inertia of the rod about an axis passing through the center of mass of the rodand perpendicular to its length.(d) Calculate moment of inertia of the rod about an axis passing through one end of the rod andperpendicular to its length.

We will first write an expression for center of mass of a one dimensional body, and apply it to the…

Answered: 15. Consider a non-uniform long thin…

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