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- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/41%3A_The_Pendulum/41.05%3A_The_Physical_PendulumIf the pivot point is at the center of mass, the body will not swing, so the pivot point should be displaced from the center of mass. where \(\theta_{0}\) is the (angular) amplitude of the motion (in ...If the pivot point is at the center of mass, the body will not swing, so the pivot point should be displaced from the center of mass. where \(\theta_{0}\) is the (angular) amplitude of the motion (in radians), \(\omega=\sqrt{M g h / I}\) is the angular frequency of the motion ( \(\mathrm{rad} / \mathrm{s}\) ), and \(\delta\) is an arbitrary integration constant (seconds).
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/15%3A_Oscillations/15.05%3A_PendulumsA mass m suspended by a wire of length L and negligible mass is a simple pendulum and undergoes SHM for amplitudes less than about 15°. The period of a simple pendulum is T = 2π√Lg, where L is the len...A mass m suspended by a wire of length L and negligible mass is a simple pendulum and undergoes SHM for amplitudes less than about 15°. The period of a simple pendulum is T = 2π√Lg, where L is the length of the string and g is the acceleration due to gravity. The period of a physical pendulum can be found if the moment of inertia is known where the length between the point of rotation and the center of mass is L.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/14%3A_Oscillations/14.05%3A_PendulumsA mass m suspended by a wire of length L and negligible mass is a simple pendulum and undergoes SHM for amplitudes less than about 15°. The period of a simple pendulum is T = 2π√Lg, where L is the len...A mass m suspended by a wire of length L and negligible mass is a simple pendulum and undergoes SHM for amplitudes less than about 15°. The period of a simple pendulum is T = 2π√Lg, where L is the length of the string and g is the acceleration due to gravity. The period of a physical pendulum can be found if the moment of inertia is known where the length between the point of rotation and the center of mass is L.
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/15%3A_Waves_and_Vibrations/15.3%3A_Periodic_MotionThe period is the duration of one cycle in a repeating event, while the frequency is the number of cycles per unit time.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/15%3A_Oscillations/15.05%3A_PendulumsA mass m suspended by a wire of length L and negligible mass is a simple pendulum and undergoes SHM for amplitudes less than about 15°. The period of a simple pendulum is T = 2π√Lg, where L is the len...A mass m suspended by a wire of length L and negligible mass is a simple pendulum and undergoes SHM for amplitudes less than about 15°. The period of a simple pendulum is T = 2π√Lg, where L is the length of the string and g is the acceleration due to gravity. The period of a physical pendulum can be found if the moment of inertia is known where the length between the point of rotation and the center of mass is L.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/11%3A_Oscillations/11.03%3A_PendulumsThe torque is the length of the string L times the component of the net force that is perpendicular to the radius of the arc. When a physical pendulum is hanging from a point but is free to rotate, it...The torque is the length of the string L times the component of the net force that is perpendicular to the radius of the arc. When a physical pendulum is hanging from a point but is free to rotate, it rotates because of the torque applied at the CM, produced by the component of the object’s weight that acts tangent to the motion of the CM.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/24%3A_Physical_Pendulums/24.02%3A_Physical_PendulumThus, if the object is “small” in the sense that \(I_{\mathrm{cm}}<<m l_{\mathrm{c}}^{2}\), the expressions for the physical pendulum reduce to those for the simple pendulum. \[\omega_{z}(t)=\frac{d \...Thus, if the object is “small” in the sense that \(I_{\mathrm{cm}}<<m l_{\mathrm{c}}^{2}\), the expressions for the physical pendulum reduce to those for the simple pendulum. \[\omega_{z}(t)=\frac{d \theta}{d t}(t)=-\omega_{0} A \sin \left(\omega_{0} t\right)+\omega_{0} B \cos \left(\omega_{0} t\right) \nonumber \] \omega_{z}(t)=\frac{d \theta}{d t}(t)=-\omega_{0} \theta_{0} \sin \left(\omega_{0} t\right)+\omega_{z, 0} \cos \left(\omega_{0} t\right)
- https://phys.libretexts.org/Courses/Joliet_Junior_College/JJC_-_PHYS_110/05%3A_Book-_Physics_(Boundless)/5.08%3A_Waves_and_Vibrations/5.8.03%3A_Periodic_MotionThe period is the duration of one cycle in a repeating event, while the frequency is the number of cycles per unit time.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/01%3A_Waves_and_Vibrations/1.3%3A_Periodic_MotionThe period is the duration of one cycle in a repeating event, while the frequency is the number of cycles per unit time.
