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Chapter 7 and 8 by Mind Map: Chapter 7 and 8
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Chapter 7 and 8

Words of the Day

Applicability

able to apply, what areas does energy apply

use for, non constant acceleration, final velocity, changes in position/direction

Trust

firm reliance on the integrity, ability, or character of a person or thing

Momentum

Definition of Linear Momentum

p = mv

Collisions between and amongst objects

Conservation of Momentum

p = 0

If no external force acts on system, the initial momentum of the system is equal to the final momentum of the system.

Three types of Collisions

Completely Inelastic

Perfect Sticking

Conservation of only momentum

m1v1i +m2v2i = (m1 +m2 )vf

Inelastic

“Sticky” but the bodies do not stick together

Conservation of momentum only

Elastic

Perfect bouncing

Conservation of kinetic energy and momentum

m1v1i +m2v2i = m1v1f +m2v2f

One-Dimensional collisions are the most common and easiest to analyze

System of Particles

Center of Mass

Average location of the mass in a system of particles

3D in general

Motion of the Center of Mass

Definition of Momentum

Newton’s 2nd Law for Systems

Angular Energy

Rotational Kinetic Energy

k= 1/2*l*w^2

Moment of inertia

Depends on mass and shape

Rotational Dynamics

Torque

Angular Force

Vector Quantity, T

Magnitude, T= -/+ F*D, T= F r sin X

Equilibrium of Forces and Torques

F=0, Linear

T=0, Angular

Newton’s 2nd Law for Rotations

Rolling Bodies

Add translational and rotational kinetic energies

Refer to page 258, Table 8.1

shapes

axis of rotation

rotational inertia

Clockwise rotation

negative

Counter clockwise rotation

positive