Calculus based review of moment of inertia for a system of particles and a rigid object with shape, the derivation of rotational kinetic energy, derivations of the following moments of inertia: Uniform Thin Hoop about is Cylindrical Axis, Uniform Rigid Rod about its Center of Mass and about one end, also the parallel axis theorem, torque, the rotational form of Newton’s Second Law, pulleys with mass and the force of tension, the Right Hand Rule for direction of torque, and rolling with and without slipping.
For the calculus based AP Physics C mechanics exam.
0:10 Moment of Inertia of a system of particles derivation
1:46 Rotational Kinetic Energy derivation
2:49 Moment of Inertia of a rigid object with shape derivation
3:52 Moment of Inertia of a Uniform Thin Hoop about its Cylindrical Axis derivation
5:31 Moment of Inertia of a Uniform Rigid Rod about its Center of Mass derivation
8:02 Moment of Inertia of a Uniform Rigid Rod about one end derivation
9:16 The Parallel Axis Theorem
12:21 Simple torque diagram
14:14 Rotational form of Newton’s Second Law
15:07 Pulleys with mass and the Force of Tension
15:33 The Right Hand Rule the for the direction of torque
16:56 Rolling without Slipping
17:40 Rolling with Slipping
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