A cylinder of mass M and radius R smoothly rolls from rest along a ramp and onto a final horizontal section. From there it rolls off the ramp and lands on a floor at a horizontal distance of d = 0.505 m from the end of the ramp. The initial height of the cylinder is H = 0.98 m; the height h of the ramp is 0.10 m. The cylinder consists of an outer cylindrical shell with a certain uniform density (mass per unit volume) that is glued to a central cylinder with a different uniform density. The rotational inertia of the cylinder can be expressed in the general form I = XMR2, but is not 0.5 as for a cylinder with a single uniform density. Determine X.(adsbygoogle = window.adsbygoogle || []).push({});

I realize I should say how I attempted this problem, but that's the problem - I don't know how to attempt it. Sorry... and thanks to anyone who can help!

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# Rotational inertia of nonuniform cylinder

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