Center of Mass

 

Center of Mass

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

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

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.

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

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

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Motion of the Center of Mass

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

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  • Watch {}video clip from Lecture 15 (46:23 - 52:30)

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Collisions

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

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Power and Momentum

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

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Linear Momentum Review

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

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Skewed Collision

4-part problem; two balls collide at angle; finding momentum, speed before and after, and velocity of center of mass. Solutions are included after problems.

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