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Use the additive property of rotational inertia and the result given by Equation 5.3.7 to find the rotational inertia of a uniform thin rod of mass \(M\) and length \(L\) about its center of mass. Solution
Figure \ (\PageIndex {3}\): Some rotational inertias. The general relationship among torque, moment of inertia, and angular acceleration is \ [net \, \tau = I \alpha\] or \ [\alpha = \dfrac {net \, \tau} {I},\] where net \ (\tau\) is the total torque from all forces relative to a chosen axis.
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21 Μαΐ 2023 · In fact, most problems can limit torque (and angular acceleration) to just "clockwise" and "counterclockwise" – the direction of the torque vector can be left until the end. One must either know or be able to calculate the rotational inertia of the object on which the torques acts.
