Moment of inertia of cylinder

Classical Mechanics Level 3

A uniform hollow cylinder has density ρ , \rho, length L , L, inner radius a , a, and outer radius b . b. Find its moment of inertia about the axis of cylinder, where M M is the mass of the cylinder.

I = 1 2 π ρ L ( b 4 − a 4 ) I=\frac{1}{2}\pi \rho L \left( b^{4}-a^{4} \right) I = 1 2 π ρ L ( b 2 + a 2 ) I=\frac{1}{2}\pi \rho L \left( b^{2}+a^{2} \right) I = 1 2 π M ( b 4 − a 4 ) I=\frac{1}{2}\pi M \left( b^{4}-a^{4} \right) I = 1 2 π M L ( b 4 − a 4 ) I=\frac{1}{2}\pi M L \left( b^{4}-a^{4} \right)

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Srinivasa Satti by Srinivasa Satti

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