You are handed a rod that is four times as dense on one side as it is on the other side, and two times as dense in the middle as it is on the least dense side. Further, you are told that the density varies quadratically. The mass of the rod is M and the length is L. Write your answers only in terms of these constants. (a) What is the moment of inertia about an axis that passes through the midpoint of the rod (and is perpendicular to the length of the rod)?
(b) What is the moment of inertia about an axis that passes through one of the ends of the rod (and is perpendicular to the length of the rod)?

This problem has been solved! see the answera non-uniform fire escape ladder is 6.0m long whenextended to the icy alley below. it is held at the top by africtionless pivot, and there is neglibible frictional force fromthe icy surface at the bottom. the ladder weighs 250n, and it'scenter of gravity is 2.0m along the ladder from the bottom. amother and child of total weight 750n are on the ladder 1.5m fromthe pivot. the ladder makes an angle θ with the horizontal.find the magnitude and direction ofa) the force exerted by the icy alley on the ladderb) the force exerted by the ladder on the pivotc) do your answers in part a and b depend on the angle?

Light traveling in a medium with a refractive index 1.19 is incident on a plate of another medium with index of refraction 1.79. at what angle of incidence is the reflected light fully polarized?

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