 Angular Momentum
 Conservation of Angular Momentum
 Rigid Body Kinematics
 Rotational Inertia
 Rigid Body Dynamics
 Rigid Body Dynamics Examples
 Work and Energy in Rotational Motion
 Rolling of Rigid Bodies
 Torque
 Moment of Inertia
 Angular Momentum of Orbits
 Gyroscope
 Angular Momentum of a Point Particle
 Angular Momentum of a Rigid Body
 Total Angular Momentum
 Experiment 9
 Rotational Dynamics Review
 Tidal Locking
 Rotational Dynamics
 Moment of Inertia of a Uniform Disc
 Turntable
 Experiment 8 Analysis
 Platform Diving
 Bohr Hydrogen Atom
 Experiment 9 Analysis
 Rotational Collision
 Hitting a Baseball
 Colliding Rotating Washers
 Sliding and Rolling Bowling Ball
 Stick on Frictionless Plane
 MerryGoRound
 Angular Momentum and Rotational Energy
 Angular Dynamics
 Torque and Angular Acceleration
 Tetherball
Angular Momentum

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Parallelaxis theorem, with example; perpendicularaxis theorem, with examples; definition of angular momentum of a particle; definition of central forces; angular momentum of a particle moving in a straight line; angular momentum of a particle in uniform circular motion; angular momentum of a conical pendulum.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Checklist for solving torque problems; angular momentum defined, with equation; angular impulse defined, with equation.
Linear and angular momentum of a rotating tennis ball; parallel axis theorem; collision between a rod and a small mass; impulse and angular momentum.
 Complete practice problems 12
Effect of a child jumping onto a merrygoround.
 Complete exam problem 9
 Check solution to exam problem 9

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Collision of rotating and stationary washers.
 Complete exam problem 6
 Check solution to exam problem 6
Rotational energy of a spinning figure skater.
 Complete exam problem 1d
 Check solution to exam problem 1d
Conservation of Angular Momentum

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Relationship between forces and angular momentum; definition of the law of conservation of angular momentum; definition of torque; angular momentum and central forces, with examples.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Effects of changing the moment of inertia of a spinning object on angular velocity, angular momentum, and kinetic energy.
 Complete practice problem 1
Collisions between washers spinning on the same axis.
 Complete practice problems 12

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Motion of a meteor approaching and just grazing the earth.
 Complete practice problem 4
 Check solution to practice problem 4
Rigid Body Kinematics
Rotation about a fixed axis; definitions of angular velocity and angular acceleration; righthand rule; rotational motion with constant angular accleration; relationship between angular velocity, linear velocity, and acceleration, with example.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Rotational Inertia

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Definition of rotational kinetic energy, with example; definition of moment of inertia for a rigid body; moment of inertia example.
Definition of rotational kinetic energy, with example; definition of moment of inertia for a rigid body; table of rotational inertia values for various objects; moment of inertia example.
Rigid Body Dynamics
Torque and force; angular momentum and torque; torque and angular momentum of a conical pendulum; torque and angular acceleration; rigid body angular acceleration, with examples; torque due to gravity, with examples; conservation of angular momentum.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Rigid Body Dynamics Examples
Rotational dynamics examples, including particle on a string and spinning bicycle wheel.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Work and Energy in Rotational Motion
Workenergy theorem in rotational motion, with examples; angular impulse, with example; decomposition of displacement into translation and rotation; rolling motion of cylinders and spheres.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Rolling of Rigid Bodies
Rolling motion of a rigid body, such as a cylinder or a sphere, with several examples; angular momentum and collisions, with example; gyroscope precession.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Torque
Torque defined; conditions for rotational static equilibrium; torque and rotational dynamics; moment of inertia; parallel axis theorem.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Moment of Inertia

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Definition, with equation; moments of inertia for common shapes; angular momentum and moment of inertia.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Calculating the moment of inertia of a washer.
 Complete practice problem 1
 Check solution to practice problem 1
Angular acceleration of a steel washer mounted on a cylindrical rotor.
 Complete exam problem 3
 Check solution to exam problem 3
Angular Momentum of Orbits
Equations for angular momentum of orbiting bodies; connection of angular momentum and rotational energy to equation of orbit.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Gyroscope

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Analogy of a precessing gyroscope to uniform circular motion.
Torque, angular velocity, and precession of gyroscopes.
 Complete practice problems 12
Angular Momentum of a Point Particle
Overview of translational and rotational dynamics of a rotating point mass; angular velocity and angular acceleration vectors for fixed axis rotation; angular momentum of a point particle using cross products; right hand rule; angular momentum for fixed axis rotation; torque and the time derivative of angular momentum for a point particle.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Angular Momentum of a Rigid Body
Angular momentum and torque for a system of particles; angular momentum of a rigid body for fixed axis rotation; conservation of angular momentum about a point; total angular momentum about a fixed point.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Total Angular Momentum
Conditions under which momentum, energy, and angular momentum are conserved; total angular momentum about a fixed point; earth's orbital angular momentum about sun; earth's spin angular momentum; total angular momentum for Earth's motion about Sun.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Experiment 9
Angular momentum experiment setup and procedure.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Rotational Dynamics Review
Torque, rotational kinetic energy, moment of inertia, and rotational work defined; strategy for computing moment of inertia; translational and rotational kinematics/dynamics combined; Kepler's Law for conservation of angular momentum.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Tidal Locking
Effect of tides on L and kinetic energy of earthmoon system; stable scenario for tidal system.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
 Complete practice problem 1
 Check solution to practice problem 1
Rotational Dynamics
Angular acceleration as a function of moment of inertia; motion of a rolling wheel.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
 Complete practice problem 1
Moment of Inertia of a Uniform Disc
Calculating the moment of inertia of a uniform circular disc about two parallel axes.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 30(1)
 Check solution to practice problem 30(1)
Turntable
Frictional torque acting on a spinning uniform circular disc.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 30(2)
 Check solution to practice problem 30(2)
Experiment 8 Analysis
Analysis of data collected in Experiment 8.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 2
 Check solution to practice problem 2
Platform Diving
Motion of a somersaulting diver.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 5
 Check solution to practice problem 5
Bohr Hydrogen Atom
Analysis of a hydrogen atom modeled as an electron orbiting a proton.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 1
 Check solution to practice problem 1
Experiment 9 Analysis
Analysis of data collected in Experiment 9.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 2
 Check solution to practice problem 2
Rotational Collision
3part problem; bullet hits side of cylinder; finding L, ω, and v of cylinder.

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
 Complete exam problem 3
 Check solution to exam problem 3
Hitting a Baseball
Collision of a bat with a baseball.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
 Complete exam problem 11
 Check solution to exam problem 11
Colliding Rotating Washers
5part problem; initial L and kinetic energy of washer, frictional torque, final ω of washers, average τ in collision.

8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
 Complete exam problem 1
 Check solution to exam problem 1
Sliding and Rolling Bowling Ball
Calculating ω and kinetic energy for bowling ball when it begins to roll; loss of KE.

8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
 Complete exam problem 3
 Check solution to exam problem 3
Stick on Frictionless Plane
4part problem; putty inelastically collides with stick; finding CM, p, ω, distance traveled in one revolution.

8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
 Complete exam problem 5
 Check solution to exam problem 5
MerryGoRound
6part problem; calculating α, ω, power exerted on merrygoround; ω and kinetic energy after I changes.

8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
 Complete exam problem 7
 Check solution to exam problem 7
Angular Momentum and Rotational Energy
Effect of a spinning figure skater pulling in her arms.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete exam problem 1d
 Check solution to exam problem 1d
Angular Dynamics
Motion of a rotating merrygoround, before and after children move to the center.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete exam problem B3
 Check solution to exam problem B3
Torque and Angular Acceleration
Two masses connected by a rope wrapped around a pulley.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete exam problem B7
 Check solution to exam problem B7
Tetherball
Kinematics and dynamics of a rotating tetherball.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete exam problem 1b
 Check solution to exam problem 1b