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Part A A cylinder of mass M and radius R has a cylindrical hole of radius r centered on the axis. Find an expression for the moment of inertia of the cylinder. You should confirm that your answer agrees with expressions 12 MR2 when r = 0 (a solid disk) and MR2 when r = R (a cylindrical hoop). Express your answer in terms of some or all of the variables M, R, and r.

Part A A cylinder of mass M and radius R has a cylindrical hole of radius r centered on the axis. Find an expression for the moment of inertia of the cylinder. You should confirm that your answer agrees with expressions 12 MR2 when r = 0 (a solid disk) and MR2 when r = R (a cylindrical hoop). Express your answer in terms of some or all of the variables M, R, and r.

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Part A
A cylinder of mass M and radius R has a cylindrical hole of radius r centered on the axis. Find an expression for the moment of inertia of the cylinder. You should confirm that your answer agrees with expressions 1 2 M R 2 when r = 0 (a solid disk) and M R 2 when r = R (a cylindrical hoop). Express your answer in terms of some or all of the variables M , R , and r .

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