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- https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/22%3A_N9)_Rotational_Motion/22.04%3A_Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.
- 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/11.08%3A_Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.
- 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/10.08%3A_Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/03%3A_Module_2_-_Multi-Dimensional_Mechanics/3.05%3A_Objective_2.e./3.5.03%3A_Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/23%3A_N9)_Rotational_Motion/23.04%3A_Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/11%3A_Fixed-Axis_Rotation__Introduction/11.08%3A_Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/08%3A_Newton's_Laws_for_Rotation_and_Static_Equilibrium/8.01%3A_Newtons_Second_Law_for_RotationThe moment of inertia of a solid disk about this axis is given in Figure 10.5.4 to be $$\frac{1}{2} MR^{2} \ldotp$$We have M = 50.0 kg and R = 1.50 m, so $$I = (0.500)(50.0\; kg)(1.50\; m)^{2} = 56.25...The moment of inertia of a solid disk about this axis is given in Figure 10.5.4 to be $$\frac{1}{2} MR^{2} \ldotp$$We have M = 50.0 kg and R = 1.50 m, so $$I = (0.500)(50.0\; kg)(1.50\; m)^{2} = 56.25\; kg\; \cdotp m^{2} \ldotp$$To find the net torque, we note that the applied force is perpendicular to the radius and friction is negligible, so that $$\tau = rF \sin \theta = (1.50\; m)(250.0\; N) - 375.0\; N\; \cdotp m \ldotp$$Now, after we substitute the known values, we find the angular accele…
- 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/Newtons_Second_Law_for_RotationNewton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form o...Newton’s second law for rotation says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. In the vector form of Newton’s second law for rotation, the torque vector is in the same direction as the angular acceleration. If the angular acceleration of a rotating system is positive, the torque on the system is also positive, and if the angular acceleration is negative, the torque is negative.