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The document shows the derivation of the formula for the moment of inertia of a rod about its axis. It starts with the definition of linear mass density λ as mass M divided by length L. It then defines the infinitesimal mass dm as λ dx and sets up the integral for the moment of inertia I as the integral of r-squared dm. By substituting the expressions for dm and r, the integral is evaluated to give the final formula of I = 1/3ML2.

Author

Wari

Language

EN