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- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/10%3A_Rotational_Kinematics_Angular_Momentum_and_Energy/10.01%3A_Fixed-Axis_Rotation__Introduction/Calculating_Moments_of_InertiaMoments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel...Moments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel axis theorem makes it possible to find an object's moment of inertia about a new axis of rotation once it is known for a parallel axis. The moment of inertia for a compound object is simply the sum of the moments of inertia for each individual object that makes up the compound object.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/11%3A_Fixed-Axis_Rotation__Introduction/11.06%3A_Calculating_Moments_of_InertiaMoments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel...Moments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel axis theorem makes it possible to find an object's moment of inertia about a new axis of rotation once it is known for a parallel axis. The moment of inertia for a compound object is simply the sum of the moments of inertia for each individual object that makes up the compound object.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/11%3A_Rotational_Kinematics_Angular_Momentum_and_Energy/11.06%3A_Calculating_Moments_of_InertiaMoments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel...Moments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel axis theorem makes it possible to find an object's moment of inertia about a new axis of rotation once it is known for a parallel axis. The moment of inertia for a compound object is simply the sum of the moments of inertia for each individual object that makes up the compound object.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/13%3A_Rigid-body_Rotation/13.08%3A_Parallel-Axis_TheoremThe values of the components of the inertia tensor depend on both the location and the orientation about which the body rotates relative to the body-fixed coordinate system. The parallel-axis theorem ...The values of the components of the inertia tensor depend on both the location and the orientation about which the body rotates relative to the body-fixed coordinate system. The parallel-axis theorem is valuable for relating the inertia tensor for rotation about parallel axes passing through different points fixed with respect to the rigid body. For example, one may wish to relate the inertia tensor through the center of mass to another location that is constrained to remain stationary.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/03%3A_Module_2_-_Multi-Dimensional_Mechanics/3.04%3A_Objective_2.d./3.4.04%3A_Calculating_Moments_of_InertiaMoments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel...Moments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel axis theorem makes it possible to find an object's moment of inertia about a new axis of rotation once it is known for a parallel axis. The moment of inertia for a compound object is simply the sum of the moments of inertia for each individual object that makes up the compound object.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/06%3A_Mass_and_Inertia/6.07%3A_Calculating_Moments_of_InertiaIn the case with the axis in the center of the barbell, each of the two masses m is a distance R away from the axis, giving a moment of inertia of The rod rotates about an axis located at 25 cm, a...In the case with the axis in the center of the barbell, each of the two masses m is a distance R away from the axis, giving a moment of inertia of The rod rotates about an axis located at 25 cm, as shown in Figure \PageIndex3. (a) What is the moment of inertia of the system? (b) If the two washers closest to the axis are removed, what is the moment of inertia of the remaining four washers?
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/10%3A_Fixed-Axis_Rotation__Introduction/10.06%3A_Calculating_Moments_of_InertiaMoments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel...Moments of inertia can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis. The parallel axis theorem makes it possible to find an object's moment of inertia about a new axis of rotation once it is known for a parallel axis. The moment of inertia for a compound object is simply the sum of the moments of inertia for each individual object that makes up the compound object.
