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- rolling without slipping
- moment of inertia
- system of particles
- objects with shape
- rigid
- rotational kinetic energy
- derivation
- uniform thin hoop
- rigid rod
- cylindrical axis
- center of mass
- end
- parallel axis theorem
- rotational
- torque
- form
- newtons second law
- pulley
- force of tension
- right hand rule
- torque direction
- rolling with slipping

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. Want Lecture Notes?

Content Times:

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

11:29 Torque

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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