let R be a region bounded by x = 0 and x =1 and y =...

let R be a region bounded by x = 0 and x =1 and y = 0 and y = 1. Suppose the density is given by 1/y+1.Notice that R is denser near the x axis. As a result we might expect the centre of mass to be below the geometric center(1/2,1/2). Also since the density does not depend on x we do expect moment of inertia about the x axis to be 1/2. verify the moment of inertia about x is 1/2 and compute the value of the moment of inertia about the y axis

Expert Solution

I think, your question is wrong. The moment of inertia about x axis is not 1/2. I have showed you detailed calculation to find out the moment of inertia about x axis (also about y axis) of the region. Please go through it.

Note: it would be 1/2 , it the density is 1/y , instead of 1/(y+1). You can find it by following the same steps.

genius_generous answered 1 year ago

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