Search
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/16%3A_Two_Dimensional_Rotational_Kinematics/16.05%3A_Appendix_16A-_Proof_of_the_Parallel_Axis_TheoremIdentify an infinitesimal volume element of mass dm . The vector from the point S to the mass element is →rS,dm the vector from the center of mass to the mass ele...Identify an infinitesimal volume element of mass dm . The vector from the point S to the mass element is →rS,dm the vector from the center of mass to the mass element is →rdm, and the vector from the point S to the center of mass is →rS,cm.
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/05%3A_Rotational_Motion_Torque_and_Angular_Momentum/5.04%3A_Moment_of_InertiaIn analog with mass representing the inertia of a body undergoing linear acceleration, we’ll identify this quantity as the inertia of a body undergoing rotational acceleration, which we’ll call the mo...In analog with mass representing the inertia of a body undergoing linear acceleration, we’ll identify this quantity as the inertia of a body undergoing rotational acceleration, which we’ll call the moment of inertia and denote by I.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/16%3A_Two_Dimensional_Rotational_Kinematics/16.03%3A_Rotational_Kinetic_Energy_and_Moment_of_InertiaThen the distance from the center of mass to the end of the rod is dS,cm=L/2 The moment of inertia IS=Iend about an axis passing through the endpoint is related t...Then the distance from the center of mass to the end of the rod is dS,cm=L/2 The moment of inertia IS=Iend about an axis passing through the endpoint is related to the moment of inertia about an axis passing through the center of mass, Icm=(1/12)mL2, according to Equation ???,
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/37%3A__Moment_of_Inertia/37.03%3A_Parallel_Axis_TheoremThe parallel axis theorem (sometimes called Steiner's theorem) relates the moment of inertia Icm about an axis A passing through the center of mass to the moment of inertia I a...The parallel axis theorem (sometimes called Steiner's theorem) relates the moment of inertia Icm about an axis A passing through the center of mass to the moment of inertia I about another axis parallel to A. Using the parallel axis theorem, find the moment of inertia of a rod of mass M and length L about an axis perpendicular to the rod and passing through one end.
