8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Definition; calculating L from different frames; conservation of L from circle center.
Angular Momentum
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Parallel-axis theorem, with example; perpendicular-axis 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.
Effect of a child jumping onto a merry-go-round.
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.
Rotational energy of a spinning figure skater.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Proof that dL/dt = r × f; angular momentum conserved when τ = 0; spin angular momentum defined.
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.
Collisions between washers spinning on the same axis.
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.
Angular momentum conservation calculation and demo for spinning person, with arms outstretched and pulled in.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Ice Skaters' Delight
Definition; white dwarf, neutron star, black hole properties; energy released in a supernova.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Stellar Equilibrium and Remnants
Conservation of angular momentum in general systems and in Earth's orbit; τ = 0 at center of revolution.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Revolution of the Earth
Angular momentum of a rod revolving around the center of mass and a point off the CM; conservation of L only for CM.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Angular Momentum of a Spinning Rod
Speed of center of mass and angular velocity of rod after impulse at non-CM point, using two different origins; demonstration of motion.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Motion of a Rod After Impulse
Demonstration of blue plastic spinner that stops and spins in the opposite direction, apparently violating laws of physics.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Mysterious Spinner
Rotation about a fixed axis; definitions of angular velocity and angular acceleration; right-hand 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:
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.
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:
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-energy 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 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 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:
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.
Angular acceleration of a steel washer mounted on a cylindrical rotor.
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:
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.
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 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:
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:
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:
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:
Effect of tides on L and kinetic energy of earth-moon system; stable scenario for tidal system.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
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:
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:
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:
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:
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:
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:
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:
3-part 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:
Collision of a bat with a baseball.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
5-part 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:
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:
4-part 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:
6-part problem; calculating α, ω, power exerted on merry-go-round; 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:
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:
Motion of a rotating merry-go-round, 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:
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:
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: