Center of Mass

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Video Clips

Center of Mass

RealVideo®
10:44 minutes (35:39 - 46:23)

Definition, with example and explanation that object acts with all mass at CM.

Instructor: Prof. Walter Lewin
Prior Knowledge: Momentum (beginning of V15)

Motion of the Center of Mass

RealVideo®
6:07 minutes (46:23 - 52:30)

Demonstrations showing CM of joined blocks at constant velocity; CM of racket in parabola.

Instructor: Prof. Walter Lewin
Prior Knowledge: Center of Mass (35:29 of V15)

Lecture Notes

Center of Mass

PDF - 1.6 MB#
Page 4 to page 6

Definition, with examples; methods for finding center of mass of groups of particles and of solid bodies; mass distribution in terms of local density.

Instructor: Prof. Stanley Kowalski
Prior Knowledge: Vectors, Integration

Center of Mass Motion

PDF - 1.6 MB#
Page 1 to page 6

Center of mass of an area of constant thickness, with examples; motion of the center of mass; internal and external forces, with examples; energy of a system of particles; variable mass motion, with rocket example.

Instructor: Prof. Stanley Kowalski
Prior Knowledge: Momentum, Center of Mass

Collisions

PDF - 1.8 MB#
Page 1 to page 6

Two-dimension elastic collisions, with example; ballistic pendulum; definition and properties of collisions; collisions and kinetic energy in center of mass frame of reference.

Instructor: Prof. Stanley Kowalski
Prior Knowledge: Lecture 19

Center of Mass

PDF - 1.5 MB
Page 10 to page 15

Definition of center of mass, with examples; methods for finding center of mass of groups of particles and of solid bodies; mass distribution in terms of local density.

Instructor: Prof. Stanley Kowalski
Prior Knowledge: Vectors, Integration

Collisions

PDF - 1.1 MB
Page 1 to page 12

Two-dimension elastic collisions, with example; ballistic pendulum; definition and properties of collisions; and collisions and kinetic energy in center of mass frame of reference.

Instructor: Prof. Stanley Kowalski
Prior Knowledge: Lecture 19

Power and Momentum

PDF
Page 1

Power defined, with equation (P = F*v); impulse defined; center of mass defined; velocity and momentum of center of mass.

Instructor: Dr. George Stephans
Prior Knowledge: Momentum

Linear Momentum Review

PDF
Page 1 to page 8

Momentum and change of momentum defined, with equations; strategies for solving momentum and impulse problems; collisions and conservation of momentum; center of mass.

Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Prior Knowledge: Lectures 19, 21

Practice Problem

Center of Mass

PDF
Problem 2

Locating the center of mass of the Earth-Sun system.

Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Prior Knowledge: None