2. Consider a chain of lengthl= 1 meter and linear mass densityδ(x) = 1 +x2(in units ofkg/m),wherexis the distance from the lighter end.(a) (3 pts) Find the centre of mass of the chain.
(b) (4 pts) Suppse the chain is initially lying horizontally on the ground. Compute the work neededto lift it vertically with the lighter end 1 meter above the ground and the heavier end justtouching the ground.