8.4 Moment of Inertia and Rotational Dynamics | General Physics

Chad provides a comprehensive lesson on Moment of Inertia and Rotational Dynamics. The lesson begins with Newton's Rotational 2nd Law of Motion which states that the net torque is equal to the product of the moment of inertia times the angular acceleration. Chad then explains what the moment of inertia means practically and uses Newton's 2nd Law to derive an expression for the moment of inertia. From this expression it can be seen that the more mass is concentrated toward the axis of rotation, the lower the moment of inertia which provides a method for qualitative comparison of moments of inertia. Chad then solves a problem for the angular acceleration given the torque and moment of inertia. The lesson concludes with one final problem where Chad shows how to use the rotational work-energy theorem to solve for the work performed by torque.

00:00 Lesson Introduction
00:55 Newton's Rotational 2nd Law of Motion
01:45 Moment of Inertia (Including Derivation)
06:12 Qualitative Comparison of Moments of Inertia
08:07 Application of Newton's Rotational 2nd Law of Motion
09:46 Application of Rotational Work-Energy Theorem

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